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Finding the Fourth Proportional to 24,731.62, 37,097.50 and 7,201.88

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Solution

The fourth proportional to 24,731.62, 37,097.50 and 7,201.88 is: 10,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.62 : 37,097.50 = 7,201.88 : x
  2. Step 2: Convert to fraction form
    24,731.62/37,097.50 = 7,201.88/x
  3. Step 3: Cross multiply
    24,731.62x = 37,097.50 × 7,201.88
  4. Step 4: Simplify right side
    24,731.62x = 267,171,743.30
  5. Step 5: Solve for x
    x = 267,171,743.30/24,731.62
  6. Step 6: Final answer
    x = 10,802.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.