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Finding the Fourth Proportional to 38,202.74, 57,304.12 and 11,909.60

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Solution

The fourth proportional to 38,202.74, 57,304.12 and 11,909.60 is: 17,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202.74 : 57,304.12 = 11,909.60 : x
  2. Step 2: Convert to fraction form
    38,202.74/57,304.12 = 11,909.60/x
  3. Step 3: Cross multiply
    38,202.74x = 57,304.12 × 11,909.60
  4. Step 4: Simplify right side
    38,202.74x = 682,469,147.55
  5. Step 5: Solve for x
    x = 682,469,147.55/38,202.74
  6. Step 6: Final answer
    x = 17,864.40

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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.