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Finding the Fourth Proportional to 38,489.60, 57,744.32 and 12,195.20

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Solution

The fourth proportional to 38,489.60, 57,744.32 and 12,195.20 is: 18,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.60 : 57,744.32 = 12,195.20 : x
  2. Step 2: Convert to fraction form
    38,489.60/57,744.32 = 12,195.20/x
  3. Step 3: Cross multiply
    38,489.60x = 57,744.32 × 12,195.20
  4. Step 4: Simplify right side
    38,489.60x = 704,203,531.26
  5. Step 5: Solve for x
    x = 704,203,531.26/38,489.60
  6. Step 6: Final answer
    x = 18,295.94

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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.