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Finding the Fourth Proportional to 18,511.38, 27,770.31 and 6,824.70

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Solution

The fourth proportional to 18,511.38, 27,770.31 and 6,824.70 is: 10,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.38 : 27,770.31 = 6,824.70 : x
  2. Step 2: Convert to fraction form
    18,511.38/27,770.31 = 6,824.70/x
  3. Step 3: Cross multiply
    18,511.38x = 27,770.31 × 6,824.70
  4. Step 4: Simplify right side
    18,511.38x = 189,524,034.66
  5. Step 5: Solve for x
    x = 189,524,034.66/18,511.38
  6. Step 6: Final answer
    x = 10,238.24

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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.