$\frac{8}{15}=\frac{24}{n}$

Step 1 ：Set up the proportion: \(\frac{8}{15} = \frac{24}{n}\)

Step 2 ：Cross-multiply and solve for n: \(8n = 15 \times 24\)

Step 3 ：Divide both sides by 8: \(n = \frac{15 \times 24}{8}\)

Step 4 ：\(n = 45\)

Step 5 ：\(\boxed{n = 45}\)