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Finding the Fourth Proportional to 16,545.29, 24,822 and 8,229.24

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Solution

The fourth proportional to 16,545.29, 24,822 and 8,229.24 is: 12,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.29 : 24,822 = 8,229.24 : x
  2. Step 2: Convert to fraction form
    16,545.29/24,822 = 8,229.24/x
  3. Step 3: Cross multiply
    16,545.29x = 24,822 × 8,229.24
  4. Step 4: Simplify right side
    16,545.29x = 204,266,195.28
  5. Step 5: Solve for x
    x = 204,266,195.28/16,545.29
  6. Step 6: Final answer
    x = 12,345.89

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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.