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Finding the Fourth Proportional to 25,902.38, 38,781.21 and 14,013.64

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Solution

The fourth proportional to 25,902.38, 38,781.21 and 14,013.64 is: 20,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.38 : 38,781.21 = 14,013.64 : x
  2. Step 2: Convert to fraction form
    25,902.38/38,781.21 = 14,013.64/x
  3. Step 3: Cross multiply
    25,902.38x = 38,781.21 × 14,013.64
  4. Step 4: Simplify right side
    25,902.38x = 543,466,016.73
  5. Step 5: Solve for x
    x = 543,466,016.73/25,902.38
  6. Step 6: Final answer
    x = 20,981.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.