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Finding the Fourth Proportional to 25,092, 34,626.56 and 13,761.76

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Solution

The fourth proportional to 25,092, 34,626.56 and 13,761.76 is: 18,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092 : 34,626.56 = 13,761.76 : x
  2. Step 2: Convert to fraction form
    25,092/34,626.56 = 13,761.76/x
  3. Step 3: Cross multiply
    25,092x = 34,626.56 × 13,761.76
  4. Step 4: Simplify right side
    25,092x = 476,522,408.35
  5. Step 5: Solve for x
    x = 476,522,408.35/25,092
  6. Step 6: Final answer
    x = 18,991.01

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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.