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Finding the Fourth Proportional to 16,545.78, 22,832.55 and 9,472.86

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Solution

The fourth proportional to 16,545.78, 22,832.55 and 9,472.86 is: 13,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.78 : 22,832.55 = 9,472.86 : x
  2. Step 2: Convert to fraction form
    16,545.78/22,832.55 = 9,472.86/x
  3. Step 3: Cross multiply
    16,545.78x = 22,832.55 × 9,472.86
  4. Step 4: Simplify right side
    16,545.78x = 216,289,549.59
  5. Step 5: Solve for x
    x = 216,289,549.59/16,545.78
  6. Step 6: Final answer
    x = 13,072.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.