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Finding the Fourth Proportional to 24,834.90, 37,254.92 and 7,961.97

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Solution

The fourth proportional to 24,834.90, 37,254.92 and 7,961.97 is: 11,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834.90 : 37,254.92 = 7,961.97 : x
  2. Step 2: Convert to fraction form
    24,834.90/37,254.92 = 7,961.97/x
  3. Step 3: Cross multiply
    24,834.90x = 37,254.92 × 7,961.97
  4. Step 4: Simplify right side
    24,834.90x = 296,622,555.39
  5. Step 5: Solve for x
    x = 296,622,555.39/24,834.90
  6. Step 6: Final answer
    x = 11,943.78

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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.