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Finding the Fourth Proportional to 27,414.54, 41,122.59 and 8,694.66

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Solution

The fourth proportional to 27,414.54, 41,122.59 and 8,694.66 is: 13,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.54 : 41,122.59 = 8,694.66 : x
  2. Step 2: Convert to fraction form
    27,414.54/41,122.59 = 8,694.66/x
  3. Step 3: Cross multiply
    27,414.54x = 41,122.59 × 8,694.66
  4. Step 4: Simplify right side
    27,414.54x = 357,546,938.37
  5. Step 5: Solve for x
    x = 357,546,938.37/27,414.54
  6. Step 6: Final answer
    x = 13,042.24

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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.