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Finding the Fourth Proportional to 26,098.38, 39,138.24 and 9,454.08

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Solution

The fourth proportional to 26,098.38, 39,138.24 and 9,454.08 is: 14,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098.38 : 39,138.24 = 9,454.08 : x
  2. Step 2: Convert to fraction form
    26,098.38/39,138.24 = 9,454.08/x
  3. Step 3: Cross multiply
    26,098.38x = 39,138.24 × 9,454.08
  4. Step 4: Simplify right side
    26,098.38x = 370,016,052.02
  5. Step 5: Solve for x
    x = 370,016,052.02/26,098.38
  6. Step 6: Final answer
    x = 14,177.74

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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.