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Finding the Fourth Proportional to 26,503.26, 39,754.81 and 6,781.78

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Solution

The fourth proportional to 26,503.26, 39,754.81 and 6,781.78 is: 10,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503.26 : 39,754.81 = 6,781.78 : x
  2. Step 2: Convert to fraction form
    26,503.26/39,754.81 = 6,781.78/x
  3. Step 3: Cross multiply
    26,503.26x = 39,754.81 × 6,781.78
  4. Step 4: Simplify right side
    26,503.26x = 269,608,375.36
  5. Step 5: Solve for x
    x = 269,608,375.36/26,503.26
  6. Step 6: Final answer
    x = 10,172.65

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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.