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Finding the Fourth Proportional to 18,546.24, 27,819.50 and 6,234.24

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Solution

The fourth proportional to 18,546.24, 27,819.50 and 6,234.24 is: 9,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.24 : 27,819.50 = 6,234.24 : x
  2. Step 2: Convert to fraction form
    18,546.24/27,819.50 = 6,234.24/x
  3. Step 3: Cross multiply
    18,546.24x = 27,819.50 × 6,234.24
  4. Step 4: Simplify right side
    18,546.24x = 173,433,439.68
  5. Step 5: Solve for x
    x = 173,433,439.68/18,546.24
  6. Step 6: Final answer
    x = 9,351.41

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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.