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Finding the Fourth Proportional to 17,732.70, 24,470.13 and 9,773.43

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Solution

The fourth proportional to 17,732.70, 24,470.13 and 9,773.43 is: 13,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.70 : 24,470.13 = 9,773.43 : x
  2. Step 2: Convert to fraction form
    17,732.70/24,470.13 = 9,773.43/x
  3. Step 3: Cross multiply
    17,732.70x = 24,470.13 × 9,773.43
  4. Step 4: Simplify right side
    17,732.70x = 239,157,102.65
  5. Step 5: Solve for x
    x = 239,157,102.65/17,732.70
  6. Step 6: Final answer
    x = 13,486.78

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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.