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Finding the Fourth Proportional to 17,732.62, 24,470.46 and 9,775

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Solution

The fourth proportional to 17,732.62, 24,470.46 and 9,775 is: 13,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.62 : 24,470.46 = 9,775 : x
  2. Step 2: Convert to fraction form
    17,732.62/24,470.46 = 9,775/x
  3. Step 3: Cross multiply
    17,732.62x = 24,470.46 × 9,775
  4. Step 4: Simplify right side
    17,732.62x = 239,198,746.50
  5. Step 5: Solve for x
    x = 239,198,746.50/17,732.62
  6. Step 6: Final answer
    x = 13,489.19

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Why These Related Problems?

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