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Finding the Fourth Proportional to 18,342.25, 27,508.82 and 5,194.73

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Solution

The fourth proportional to 18,342.25, 27,508.82 and 5,194.73 is: 7,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.25 : 27,508.82 = 5,194.73 : x
  2. Step 2: Convert to fraction form
    18,342.25/27,508.82 = 5,194.73/x
  3. Step 3: Cross multiply
    18,342.25x = 27,508.82 × 5,194.73
  4. Step 4: Simplify right side
    18,342.25x = 142,900,935.32
  5. Step 5: Solve for x
    x = 142,900,935.32/18,342.25
  6. Step 6: Final answer
    x = 7,790.81

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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.