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Finding the Fourth Proportional to 25,092.32, 34,627.84 and 13,761.63

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Solution

The fourth proportional to 25,092.32, 34,627.84 and 13,761.63 is: 18,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.32 : 34,627.84 = 13,761.63 : x
  2. Step 2: Convert to fraction form
    25,092.32/34,627.84 = 13,761.63/x
  3. Step 3: Cross multiply
    25,092.32x = 34,627.84 × 13,761.63
  4. Step 4: Simplify right side
    25,092.32x = 476,535,487.38
  5. Step 5: Solve for x
    x = 476,535,487.38/25,092.32
  6. Step 6: Final answer
    x = 18,991.29

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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.