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Finding the Fourth Proportional to 24,731.20, 37,096.92 and 7,201.12

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Solution

The fourth proportional to 24,731.20, 37,096.92 and 7,201.12 is: 10,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.20 : 37,096.92 = 7,201.12 : x
  2. Step 2: Convert to fraction form
    24,731.20/37,096.92 = 7,201.12/x
  3. Step 3: Cross multiply
    24,731.20x = 37,096.92 × 7,201.12
  4. Step 4: Simplify right side
    24,731.20x = 267,139,372.55
  5. Step 5: Solve for x
    x = 267,139,372.55/24,731.20
  6. Step 6: Final answer
    x = 10,801.71

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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.