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Finding the Fourth Proportional to 24,227.34, 36,331.49 and 10,194.09

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Solution

The fourth proportional to 24,227.34, 36,331.49 and 10,194.09 is: 15,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.34 : 36,331.49 = 10,194.09 : x
  2. Step 2: Convert to fraction form
    24,227.34/36,331.49 = 10,194.09/x
  3. Step 3: Cross multiply
    24,227.34x = 36,331.49 × 10,194.09
  4. Step 4: Simplify right side
    24,227.34x = 370,366,310.79
  5. Step 5: Solve for x
    x = 370,366,310.79/24,227.34
  6. Step 6: Final answer
    x = 15,287.12

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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.