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Finding the Fourth Proportional to 24,489.25, 36,747.71 and 10,447.95

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Solution

The fourth proportional to 24,489.25, 36,747.71 and 10,447.95 is: 15,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.25 : 36,747.71 = 10,447.95 : x
  2. Step 2: Convert to fraction form
    24,489.25/36,747.71 = 10,447.95/x
  3. Step 3: Cross multiply
    24,489.25x = 36,747.71 × 10,447.95
  4. Step 4: Simplify right side
    24,489.25x = 383,938,236.69
  5. Step 5: Solve for x
    x = 383,938,236.69/24,489.25
  6. Step 6: Final answer
    x = 15,677.83

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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.