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Finding the Fourth Proportional to 26,251.96, 39,375.38 and 9,837.24

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Solution

The fourth proportional to 26,251.96, 39,375.38 and 9,837.24 is: 14,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,251.96 : 39,375.38 = 9,837.24 : x
  2. Step 2: Convert to fraction form
    26,251.96/39,375.38 = 9,837.24/x
  3. Step 3: Cross multiply
    26,251.96x = 39,375.38 × 9,837.24
  4. Step 4: Simplify right side
    26,251.96x = 387,345,063.15
  5. Step 5: Solve for x
    x = 387,345,063.15/26,251.96
  6. Step 6: Final answer
    x = 14,754.90

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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.