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Finding the Fourth Proportional to 12,366.90, 18,542.15 and 6,822.90

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Solution

The fourth proportional to 12,366.90, 18,542.15 and 6,822.90 is: 10,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.90 : 18,542.15 = 6,822.90 : x
  2. Step 2: Convert to fraction form
    12,366.90/18,542.15 = 6,822.90/x
  3. Step 3: Cross multiply
    12,366.90x = 18,542.15 × 6,822.90
  4. Step 4: Simplify right side
    12,366.90x = 126,511,235.24
  5. Step 5: Solve for x
    x = 126,511,235.24/12,366.90
  6. Step 6: Final answer
    x = 10,229.83

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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.