1. **State the problem:** We need to compute the net amount given by the expression $16,694 - \left(16,694 \times \frac{100}{112} \times 6\%\right)$. 2. **Understand the formula:** The expression subtracts a percentage of a fraction of the original amount from the original amount itself. Here, $6\%$ means $0.06$ in decimal form. 3. **Convert percentage to decimal:** $6\% = 0.06$. 4. **Calculate the fraction:** Compute $\frac{100}{112} \approx 0.892857$. 5. **Multiply the terms inside the parentheses:** $$16,694 \times 0.892857 \times 0.06 = 16,694 \times 0.0535714 \approx 894.93$$ 6. **Subtract from the original amount:** $$16,694 - 894.93 = 15,799.07$$ 7. **Final answer:** The net amount is approximately $15,799.07$.