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Finding the Fourth Proportional to 24,679.20, 37,023.60 and 7,149.60

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Solution

The fourth proportional to 24,679.20, 37,023.60 and 7,149.60 is: 10,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,679.20 : 37,023.60 = 7,149.60 : x
  2. Step 2: Convert to fraction form
    24,679.20/37,023.60 = 7,149.60/x
  3. Step 3: Cross multiply
    24,679.20x = 37,023.60 × 7,149.60
  4. Step 4: Simplify right side
    24,679.20x = 264,703,930.56
  5. Step 5: Solve for x
    x = 264,703,930.56/24,679.20
  6. Step 6: Final answer
    x = 10,725.79

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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.