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Finding the Fourth Proportional to 25,572.34, 38,375.02 and 10,781.34

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Solution

The fourth proportional to 25,572.34, 38,375.02 and 10,781.34 is: 16,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572.34 : 38,375.02 = 10,781.34 : x
  2. Step 2: Convert to fraction form
    25,572.34/38,375.02 = 10,781.34/x
  3. Step 3: Cross multiply
    25,572.34x = 38,375.02 × 10,781.34
  4. Step 4: Simplify right side
    25,572.34x = 413,734,138.13
  5. Step 5: Solve for x
    x = 413,734,138.13/25,572.34
  6. Step 6: Final answer
    x = 16,178.97

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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.