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Finding the Fourth Proportional to 24,372.73, 36,557.47 and 9,584.16

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Solution

The fourth proportional to 24,372.73, 36,557.47 and 9,584.16 is: 14,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.73 : 36,557.47 = 9,584.16 : x
  2. Step 2: Convert to fraction form
    24,372.73/36,557.47 = 9,584.16/x
  3. Step 3: Cross multiply
    24,372.73x = 36,557.47 × 9,584.16
  4. Step 4: Simplify right side
    24,372.73x = 350,372,641.68
  5. Step 5: Solve for x
    x = 350,372,641.68/24,372.73
  6. Step 6: Final answer
    x = 14,375.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.