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Finding the Fourth Proportional to 26,218.27, 39,311.84 and 10,414.80

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Solution

The fourth proportional to 26,218.27, 39,311.84 and 10,414.80 is: 15,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,218.27 : 39,311.84 = 10,414.80 : x
  2. Step 2: Convert to fraction form
    26,218.27/39,311.84 = 10,414.80/x
  3. Step 3: Cross multiply
    26,218.27x = 39,311.84 × 10,414.80
  4. Step 4: Simplify right side
    26,218.27x = 409,424,977.27
  5. Step 5: Solve for x
    x = 409,424,977.27/26,218.27
  6. Step 6: Final answer
    x = 15,616.02

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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.