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Finding the Fourth Proportional to 12,074.70, 18,105.31 and 6,147.88

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Solution

The fourth proportional to 12,074.70, 18,105.31 and 6,147.88 is: 9,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.70 : 18,105.31 = 6,147.88 : x
  2. Step 2: Convert to fraction form
    12,074.70/18,105.31 = 6,147.88/x
  3. Step 3: Cross multiply
    12,074.70x = 18,105.31 × 6,147.88
  4. Step 4: Simplify right side
    12,074.70x = 111,309,273.24
  5. Step 5: Solve for x
    x = 111,309,273.24/12,074.70
  6. Step 6: Final answer
    x = 9,218.39

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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.