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Finding the Fourth Proportional to 15,086.65, 22,610.82 and 6,766.33

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Solution

The fourth proportional to 15,086.65, 22,610.82 and 6,766.33 is: 10,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.65 : 22,610.82 = 6,766.33 : x
  2. Step 2: Convert to fraction form
    15,086.65/22,610.82 = 6,766.33/x
  3. Step 3: Cross multiply
    15,086.65x = 22,610.82 × 6,766.33
  4. Step 4: Simplify right side
    15,086.65x = 152,992,213.16
  5. Step 5: Solve for x
    x = 152,992,213.16/15,086.65
  6. Step 6: Final answer
    x = 10,140.90

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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.