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Finding the Fourth Proportional to 18,229.50, 27,344.25 and 5,917.50

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Solution

The fourth proportional to 18,229.50, 27,344.25 and 5,917.50 is: 8,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,229.50 : 27,344.25 = 5,917.50 : x
  2. Step 2: Convert to fraction form
    18,229.50/27,344.25 = 5,917.50/x
  3. Step 3: Cross multiply
    18,229.50x = 27,344.25 × 5,917.50
  4. Step 4: Simplify right side
    18,229.50x = 161,809,599.38
  5. Step 5: Solve for x
    x = 161,809,599.38/18,229.50
  6. Step 6: Final answer
    x = 8,876.25

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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.