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Finding the Fourth Proportional to 18,382.05, 27,584.42 and 8,519.49

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Solution

The fourth proportional to 18,382.05, 27,584.42 and 8,519.49 is: 12,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.05 : 27,584.42 = 8,519.49 : x
  2. Step 2: Convert to fraction form
    18,382.05/27,584.42 = 8,519.49/x
  3. Step 3: Cross multiply
    18,382.05x = 27,584.42 × 8,519.49
  4. Step 4: Simplify right side
    18,382.05x = 235,005,147.75
  5. Step 5: Solve for x
    x = 235,005,147.75/18,382.05
  6. Step 6: Final answer
    x = 12,784.49

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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.