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Finding the Fourth Proportional to 26,542.73, 39,815.49 and 6,821.42

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Solution

The fourth proportional to 26,542.73, 39,815.49 and 6,821.42 is: 10,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542.73 : 39,815.49 = 6,821.42 : x
  2. Step 2: Convert to fraction form
    26,542.73/39,815.49 = 6,821.42/x
  3. Step 3: Cross multiply
    26,542.73x = 39,815.49 × 6,821.42
  4. Step 4: Simplify right side
    26,542.73x = 271,598,179.80
  5. Step 5: Solve for x
    x = 271,598,179.80/26,542.73
  6. Step 6: Final answer
    x = 10,232.49

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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.