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Finding the Fourth Proportional to 26,169.36, 39,248.10 and 7,449

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Solution

The fourth proportional to 26,169.36, 39,248.10 and 7,449 is: 11,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,169.36 : 39,248.10 = 7,449 : x
  2. Step 2: Convert to fraction form
    26,169.36/39,248.10 = 7,449/x
  3. Step 3: Cross multiply
    26,169.36x = 39,248.10 × 7,449
  4. Step 4: Simplify right side
    26,169.36x = 292,359,096.90
  5. Step 5: Solve for x
    x = 292,359,096.90/26,169.36
  6. Step 6: Final answer
    x = 11,171.81

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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.