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Finding the Fourth Proportional to 38,520.68, 57,780.82 and 12,227.44

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Solution

The fourth proportional to 38,520.68, 57,780.82 and 12,227.44 is: 18,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,520.68 : 57,780.82 = 12,227.44 : x
  2. Step 2: Convert to fraction form
    38,520.68/57,780.82 = 12,227.44/x
  3. Step 3: Cross multiply
    38,520.68x = 57,780.82 × 12,227.44
  4. Step 4: Simplify right side
    38,520.68x = 706,511,509.70
  5. Step 5: Solve for x
    x = 706,511,509.70/38,520.68
  6. Step 6: Final answer
    x = 18,341.10

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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.