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Finding the Fourth Proportional to 13,454.31, 20,162.95 and 6,866.65

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Solution

The fourth proportional to 13,454.31, 20,162.95 and 6,866.65 is: 10,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.31 : 20,162.95 = 6,866.65 : x
  2. Step 2: Convert to fraction form
    13,454.31/20,162.95 = 6,866.65/x
  3. Step 3: Cross multiply
    13,454.31x = 20,162.95 × 6,866.65
  4. Step 4: Simplify right side
    13,454.31x = 138,451,920.62
  5. Step 5: Solve for x
    x = 138,451,920.62/13,454.31
  6. Step 6: Final answer
    x = 10,290.53

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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.