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Finding the Fourth Proportional to 26,540.73, 39,812.49 and 6,819.42

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Solution

The fourth proportional to 26,540.73, 39,812.49 and 6,819.42 is: 10,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540.73 : 39,812.49 = 6,819.42 : x
  2. Step 2: Convert to fraction form
    26,540.73/39,812.49 = 6,819.42/x
  3. Step 3: Cross multiply
    26,540.73x = 39,812.49 × 6,819.42
  4. Step 4: Simplify right side
    26,540.73x = 271,498,090.56
  5. Step 5: Solve for x
    x = 271,498,090.56/26,540.73
  6. Step 6: Final answer
    x = 10,229.49

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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.