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Finding the Fourth Proportional to 16,185.27, 24,232.24 and 8,569.29

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Solution

The fourth proportional to 16,185.27, 24,232.24 and 8,569.29 is: 12,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.27 : 24,232.24 = 8,569.29 : x
  2. Step 2: Convert to fraction form
    16,185.27/24,232.24 = 8,569.29/x
  3. Step 3: Cross multiply
    16,185.27x = 24,232.24 × 8,569.29
  4. Step 4: Simplify right side
    16,185.27x = 207,653,091.91
  5. Step 5: Solve for x
    x = 207,653,091.91/16,185.27
  6. Step 6: Final answer
    x = 12,829.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.