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Finding the Fourth Proportional to 24,225.20, 36,337.74 and 6,694.97

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Solution

The fourth proportional to 24,225.20, 36,337.74 and 6,694.97 is: 10,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225.20 : 36,337.74 = 6,694.97 : x
  2. Step 2: Convert to fraction form
    24,225.20/36,337.74 = 6,694.97/x
  3. Step 3: Cross multiply
    24,225.20x = 36,337.74 × 6,694.97
  4. Step 4: Simplify right side
    24,225.20x = 243,279,897.48
  5. Step 5: Solve for x
    x = 243,279,897.48/24,225.20
  6. Step 6: Final answer
    x = 10,042.43

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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.