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Finding the Fourth Proportional to 15,129.38, 20,877.05 and 8,414.87

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Solution

The fourth proportional to 15,129.38, 20,877.05 and 8,414.87 is: 11,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.38 : 20,877.05 = 8,414.87 : x
  2. Step 2: Convert to fraction form
    15,129.38/20,877.05 = 8,414.87/x
  3. Step 3: Cross multiply
    15,129.38x = 20,877.05 × 8,414.87
  4. Step 4: Simplify right side
    15,129.38x = 175,677,603.96
  5. Step 5: Solve for x
    x = 175,677,603.96/15,129.38
  6. Step 6: Final answer
    x = 11,611.68

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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.