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Finding the Fourth Proportional to 38,503.92, 57,763.08 and 12,201.60

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Solution

The fourth proportional to 38,503.92, 57,763.08 and 12,201.60 is: 18,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.92 : 57,763.08 = 12,201.60 : x
  2. Step 2: Convert to fraction form
    38,503.92/57,763.08 = 12,201.60/x
  3. Step 3: Cross multiply
    38,503.92x = 57,763.08 × 12,201.60
  4. Step 4: Simplify right side
    38,503.92x = 704,801,996.93
  5. Step 5: Solve for x
    x = 704,801,996.93/38,503.92
  6. Step 6: Final answer
    x = 18,304.68

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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.