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Finding the Fourth Proportional to 25,542.14, 38,313.30 and 8,902.14

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Solution

The fourth proportional to 25,542.14, 38,313.30 and 8,902.14 is: 13,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.14 : 38,313.30 = 8,902.14 : x
  2. Step 2: Convert to fraction form
    25,542.14/38,313.30 = 8,902.14/x
  3. Step 3: Cross multiply
    25,542.14x = 38,313.30 × 8,902.14
  4. Step 4: Simplify right side
    25,542.14x = 341,070,250.17
  5. Step 5: Solve for x
    x = 341,070,250.17/25,542.14
  6. Step 6: Final answer
    x = 13,353.24

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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.