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Finding the Fourth Proportional to 38,382.80, 57,542.20 and 16,213.20

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Solution

The fourth proportional to 38,382.80, 57,542.20 and 16,213.20 is: 24,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.80 : 57,542.20 = 16,213.20 : x
  2. Step 2: Convert to fraction form
    38,382.80/57,542.20 = 16,213.20/x
  3. Step 3: Cross multiply
    38,382.80x = 57,542.20 × 16,213.20
  4. Step 4: Simplify right side
    38,382.80x = 932,943,197.04
  5. Step 5: Solve for x
    x = 932,943,197.04/38,382.80
  6. Step 6: Final answer
    x = 24,306.28

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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.