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Finding the Fourth Proportional to 16,404.57, 22,640.13 and 9,234.69

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Solution

The fourth proportional to 16,404.57, 22,640.13 and 9,234.69 is: 12,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.57 : 22,640.13 = 9,234.69 : x
  2. Step 2: Convert to fraction form
    16,404.57/22,640.13 = 9,234.69/x
  3. Step 3: Cross multiply
    16,404.57x = 22,640.13 × 9,234.69
  4. Step 4: Simplify right side
    16,404.57x = 209,074,582.11
  5. Step 5: Solve for x
    x = 209,074,582.11/16,404.57
  6. Step 6: Final answer
    x = 12,744.90

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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.