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Finding the Fourth Proportional to 26,542.48, 39,819.48 and 8,074

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Solution

The fourth proportional to 26,542.48, 39,819.48 and 8,074 is: 12,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542.48 : 39,819.48 = 8,074 : x
  2. Step 2: Convert to fraction form
    26,542.48/39,819.48 = 8,074/x
  3. Step 3: Cross multiply
    26,542.48x = 39,819.48 × 8,074
  4. Step 4: Simplify right side
    26,542.48x = 321,502,481.52
  5. Step 5: Solve for x
    x = 321,502,481.52/26,542.48
  6. Step 6: Final answer
    x = 12,112.75

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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.