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Finding the Fourth Proportional to 24,489.26, 36,747.73 and 10,447.97

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Solution

The fourth proportional to 24,489.26, 36,747.73 and 10,447.97 is: 15,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.26 : 36,747.73 = 10,447.97 : x
  2. Step 2: Convert to fraction form
    24,489.26/36,747.73 = 10,447.97/x
  3. Step 3: Cross multiply
    24,489.26x = 36,747.73 × 10,447.97
  4. Step 4: Simplify right side
    24,489.26x = 383,939,009.93
  5. Step 5: Solve for x
    x = 383,939,009.93/24,489.26
  6. Step 6: Final answer
    x = 15,677.85

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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.