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Finding the Fourth Proportional to 38,572.60, 57,856.47 and 12,296.20

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Solution

The fourth proportional to 38,572.60, 57,856.47 and 12,296.20 is: 18,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,572.60 : 57,856.47 = 12,296.20 : x
  2. Step 2: Convert to fraction form
    38,572.60/57,856.47 = 12,296.20/x
  3. Step 3: Cross multiply
    38,572.60x = 57,856.47 × 12,296.20
  4. Step 4: Simplify right side
    38,572.60x = 711,414,726.41
  5. Step 5: Solve for x
    x = 711,414,726.41/38,572.60
  6. Step 6: Final answer
    x = 18,443.53

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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.