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Finding the Fourth Proportional to 38,481.40, 57,711.30 and 12,194.20

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Solution

The fourth proportional to 38,481.40, 57,711.30 and 12,194.20 is: 18,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481.40 : 57,711.30 = 12,194.20 : x
  2. Step 2: Convert to fraction form
    38,481.40/57,711.30 = 12,194.20/x
  3. Step 3: Cross multiply
    38,481.40x = 57,711.30 × 12,194.20
  4. Step 4: Simplify right side
    38,481.40x = 703,743,134.46
  5. Step 5: Solve for x
    x = 703,743,134.46/38,481.40
  6. Step 6: Final answer
    x = 18,287.88

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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.