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Finding the Fourth Proportional to 12,147.44, 18,221.17 and 9,378.16

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Solution

The fourth proportional to 12,147.44, 18,221.17 and 9,378.16 is: 14,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.44 : 18,221.17 = 9,378.16 : x
  2. Step 2: Convert to fraction form
    12,147.44/18,221.17 = 9,378.16/x
  3. Step 3: Cross multiply
    12,147.44x = 18,221.17 × 9,378.16
  4. Step 4: Simplify right side
    12,147.44x = 170,880,978.65
  5. Step 5: Solve for x
    x = 170,880,978.65/12,147.44
  6. Step 6: Final answer
    x = 14,067.24

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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.