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Finding the Fourth Proportional to 18,067.67, 27,085.10 and 8,201.60

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Solution

The fourth proportional to 18,067.67, 27,085.10 and 8,201.60 is: 12,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,067.67 : 27,085.10 = 8,201.60 : x
  2. Step 2: Convert to fraction form
    18,067.67/27,085.10 = 8,201.60/x
  3. Step 3: Cross multiply
    18,067.67x = 27,085.10 × 8,201.60
  4. Step 4: Simplify right side
    18,067.67x = 222,140,979.73
  5. Step 5: Solve for x
    x = 222,140,979.73/18,067.67
  6. Step 6: Final answer
    x = 12,294.95

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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.