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Finding the Fourth Proportional to 24,906.39, 37,358.21 and 10,116.80

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Solution

The fourth proportional to 24,906.39, 37,358.21 and 10,116.80 is: 15,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906.39 : 37,358.21 = 10,116.80 : x
  2. Step 2: Convert to fraction form
    24,906.39/37,358.21 = 10,116.80/x
  3. Step 3: Cross multiply
    24,906.39x = 37,358.21 × 10,116.80
  4. Step 4: Simplify right side
    24,906.39x = 377,945,517.52
  5. Step 5: Solve for x
    x = 377,945,517.52/24,906.39
  6. Step 6: Final answer
    x = 15,174.64

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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.