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Finding the Fourth Proportional to 24,149.25, 36,219.98 and 6,614.97

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Solution

The fourth proportional to 24,149.25, 36,219.98 and 6,614.97 is: 9,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.25 : 36,219.98 = 6,614.97 : x
  2. Step 2: Convert to fraction form
    24,149.25/36,219.98 = 6,614.97/x
  3. Step 3: Cross multiply
    24,149.25x = 36,219.98 × 6,614.97
  4. Step 4: Simplify right side
    24,149.25x = 239,594,048.03
  5. Step 5: Solve for x
    x = 239,594,048.03/24,149.25
  6. Step 6: Final answer
    x = 9,921.39

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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.