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Finding the Fourth Proportional to 26,097.57, 39,144.96 and 9,229.41

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Solution

The fourth proportional to 26,097.57, 39,144.96 and 9,229.41 is: 13,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,097.57 : 39,144.96 = 9,229.41 : x
  2. Step 2: Convert to fraction form
    26,097.57/39,144.96 = 9,229.41/x
  3. Step 3: Cross multiply
    26,097.57x = 39,144.96 × 9,229.41
  4. Step 4: Simplify right side
    26,097.57x = 361,284,885.27
  5. Step 5: Solve for x
    x = 361,284,885.27/26,097.57
  6. Step 6: Final answer
    x = 13,843.62

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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.