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Finding the Fourth Proportional to 24,730.62, 37,096 and 7,200.88

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Solution

The fourth proportional to 24,730.62, 37,096 and 7,200.88 is: 10,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.62 : 37,096 = 7,200.88 : x
  2. Step 2: Convert to fraction form
    24,730.62/37,096 = 7,200.88/x
  3. Step 3: Cross multiply
    24,730.62x = 37,096 × 7,200.88
  4. Step 4: Simplify right side
    24,730.62x = 267,123,844.48
  5. Step 5: Solve for x
    x = 267,123,844.48/24,730.62
  6. Step 6: Final answer
    x = 10,801.34

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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.