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Finding the Fourth Proportional to 38,504.20, 57,760.80 and 12,211.60

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Solution

The fourth proportional to 38,504.20, 57,760.80 and 12,211.60 is: 18,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504.20 : 57,760.80 = 12,211.60 : x
  2. Step 2: Convert to fraction form
    38,504.20/57,760.80 = 12,211.60/x
  3. Step 3: Cross multiply
    38,504.20x = 57,760.80 × 12,211.60
  4. Step 4: Simplify right side
    38,504.20x = 705,351,785.28
  5. Step 5: Solve for x
    x = 705,351,785.28/38,504.20
  6. Step 6: Final answer
    x = 18,318.83

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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.