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Finding the Fourth Proportional to 38,193.53, 57,307.10 and 13,251.20

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Solution

The fourth proportional to 38,193.53, 57,307.10 and 13,251.20 is: 19,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.53 : 57,307.10 = 13,251.20 : x
  2. Step 2: Convert to fraction form
    38,193.53/57,307.10 = 13,251.20/x
  3. Step 3: Cross multiply
    38,193.53x = 57,307.10 × 13,251.20
  4. Step 4: Simplify right side
    38,193.53x = 759,387,490.73
  5. Step 5: Solve for x
    x = 759,387,490.73/38,193.53
  6. Step 6: Final answer
    x = 19,882.62

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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.