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Finding the Fourth Proportional to 21,641.92, 32,475.57 and 9,161.17

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Solution

The fourth proportional to 21,641.92, 32,475.57 and 9,161.17 is: 13,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.92 : 32,475.57 = 9,161.17 : x
  2. Step 2: Convert to fraction form
    21,641.92/32,475.57 = 9,161.17/x
  3. Step 3: Cross multiply
    21,641.92x = 32,475.57 × 9,161.17
  4. Step 4: Simplify right side
    21,641.92x = 297,514,217.62
  5. Step 5: Solve for x
    x = 297,514,217.62/21,641.92
  6. Step 6: Final answer
    x = 13,747.13

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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.