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Finding the Fourth Proportional to 27,456.26, 41,184.09 and 6,679.78

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Solution

The fourth proportional to 27,456.26, 41,184.09 and 6,679.78 is: 10,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456.26 : 41,184.09 = 6,679.78 : x
  2. Step 2: Convert to fraction form
    27,456.26/41,184.09 = 6,679.78/x
  3. Step 3: Cross multiply
    27,456.26x = 41,184.09 × 6,679.78
  4. Step 4: Simplify right side
    27,456.26x = 275,100,660.70
  5. Step 5: Solve for x
    x = 275,100,660.70/27,456.26
  6. Step 6: Final answer
    x = 10,019.60

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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.