1. **State the problem:** We need to find a group of numbers from the list \(3264, 3368, 3544, 3960, 4320, 5152, 6936, 7248, 13552\) whose total sum is \(19460\). 2. **Approach:** We will try to find a combination of these numbers that add up exactly to \(19460\). 3. **Check sums of combinations:** - Start with the largest number \(13552\) and add smaller numbers to reach \(19460\). 4. Calculate \(19460 - 13552 = 5908\). 5. Look for numbers that sum to \(5908\) from the remaining list: - Try \(4320 + 1596\) but \(1596\) is not in the list. - Try \(3960 + 1948\) but \(1948\) is not in the list. - Try \(3544 + 2364\) but \(2364\) is not in the list. - Try \(3368 + 2540\) but \(2540\) is not in the list. - Try \(3264 + 2644\) but \(2644\) is not in the list. 6. Try other combinations: - \(6936 + 12424\) no \(12424\) in list. - \(7248 + 12212\) no \(12212\) in list. 7. Try sum of \(5152 + 6936 + 7372\) no \(7372\) in list. 8. Try sum of \(4320 + 5152 + 6936 = 16408\), difference \(19460 - 16408 = 3052\) no \(3052\) in list. 9. Try sum of \(3960 + 4320 + 5152 = 13432\), difference \(19460 - 13432 = 6028\) no \(6028\) in list. 10. Try sum of \(3544 + 3960 + 4320 + 3264 = 15088\), difference \(19460 - 15088 = 4372\) no \(4372\) in list. 11. Try sum of \(3368 + 3544 + 3960 + 4320 + 3264 = 18456\), difference \(19460 - 18456 = 1004\) no \(1004\) in list. 12. Try sum of \(3368 + 3544 + 3960 + 4320 + 3264 + 5152 = 23608\) which is over \(19460\). 13. Try sum of \(6936 + 7248 + 3264 = 17448\), difference \(19460 - 17448 = 2012\) no \(2012\) in list. 14. Try sum of \(6936 + 7248 + 3368 = 17552\), difference \(19460 - 17552 = 1908\) no \(1908\) in list. 15. Try sum of \(6936 + 7248 + 3544 = 17728\), difference \(19460 - 17728 = 1732\) no \(1732\) in list. 16. Try sum of \(6936 + 7248 + 3960 = 18144\), difference \(19460 - 18144 = 1316\) no \(1316\) in list. 17. Try sum of \(6936 + 7248 + 4320 = 18504\), difference \(19460 - 18504 = 956\) no \(956\) in list. 18. Try sum of \(6936 + 7248 + 5152 = 19336\), difference \(19460 - 19336 = 124\) no \(124\) in list. 19. Try sum of \(6936 + 7248 + 3264 + 3368 = 20816\) over \(19460\). 20. Try sum of \(13552 + 4320 + 3264 = 21136\) over \(19460\). 21. Try sum of \(13552 + 3368 = 16920\), difference \(19460 - 16920 = 2540\) no \(2540\) in list. 22. Try sum of \(13552 + 3544 = 17096\), difference \(19460 - 17096 = 2364\) no \(2364\) in list. 23. Try sum of \(13552 + 3960 = 17512\), difference \(19460 - 17512 = 1948\) no \(1948\) in list. 24. Try sum of \(13552 + 4320 = 17872\), difference \(19460 - 17872 = 1588\) no \(1588\) in list. 25. Try sum of \(13552 + 5152 = 18704\), difference \(19460 - 18704 = 756\) no \(756\) in list. 26. Try sum of \(13552 + 6936 = 20488\) over \(19460\). 27. Try sum of \(13552 + 7248 = 20800\) over \(19460\). 28. Try sum of \(5152 + 6936 + 7248 = 19336\), difference \(19460 - 19336 = 124\) no \(124\) in list. 29. Try sum of \(4320 + 5152 + 6936 + 3264 = 19672\) over \(19460\). 30. Try sum of \(4320 + 5152 + 6936 = 16408\), difference \(19460 - 16408 = 3052\) no \(3052\) in list. 31. Try sum of \(4320 + 5152 + 3368 = 12840\), difference \(19460 - 12840 = 6620\) no \(6620\) in list. 32. Try sum of \(4320 + 5152 + 3544 = 13016\), difference \(19460 - 13016 = 6444\) no \(6444\) in list. 33. Try sum of \(4320 + 5152 + 3960 = 13432\), difference \(19460 - 13432 = 6028\) no \(6028\) in list. 34. Try sum of \(4320 + 5152 + 4320 = 13792\), difference \(19460 - 13792 = 5668\) no \(5668\) in list. 35. Try sum of \(4320 + 5152 + 5152 = 14624\), difference \(19460 - 14624 = 4836\) no \(4836\) in list. 36. Try sum of \(4320 + 5152 + 6936 = 16408\), difference \(19460 - 16408 = 3052\) no \(3052\) in list. 37. Try sum of \(4320 + 5152 + 7248 = 16720\), difference \(19460 - 16720 = 2740\) no \(2740\) in list. 38. Try sum of \(4320 + 6936 + 7248 = 18504\), difference \(19460 - 18504 = 956\) no \(956\) in list. 39. Try sum of \(5152 + 6936 + 7248 = 19336\), difference \(19460 - 19336 = 124\) no \(124\) in list. 40. **Conclusion:** No exact subset sum found from the given numbers to total \(19460\). **Final answer:** No combination of the given numbers sums exactly to \(19460\).