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Finding the Fourth Proportional to 26,149.28, 39,224.04 and 6,427.84

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Solution

The fourth proportional to 26,149.28, 39,224.04 and 6,427.84 is: 9,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.28 : 39,224.04 = 6,427.84 : x
  2. Step 2: Convert to fraction form
    26,149.28/39,224.04 = 6,427.84/x
  3. Step 3: Cross multiply
    26,149.28x = 39,224.04 × 6,427.84
  4. Step 4: Simplify right side
    26,149.28x = 252,125,853.27
  5. Step 5: Solve for x
    x = 252,125,853.27/26,149.28
  6. Step 6: Final answer
    x = 9,641.79

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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.