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Finding the Fourth Proportional to 24,694.75, 37,042.17 and 6,226.75

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Solution

The fourth proportional to 24,694.75, 37,042.17 and 6,226.75 is: 9,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.75 : 37,042.17 = 6,226.75 : x
  2. Step 2: Convert to fraction form
    24,694.75/37,042.17 = 6,226.75/x
  3. Step 3: Cross multiply
    24,694.75x = 37,042.17 × 6,226.75
  4. Step 4: Simplify right side
    24,694.75x = 230,652,332.05
  5. Step 5: Solve for x
    x = 230,652,332.05/24,694.75
  6. Step 6: Final answer
    x = 9,340.14

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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.