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Finding the Fourth Proportional to 12,144.82, 18,217.23 and 9,375.53

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Solution

The fourth proportional to 12,144.82, 18,217.23 and 9,375.53 is: 14,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.82 : 18,217.23 = 9,375.53 : x
  2. Step 2: Convert to fraction form
    12,144.82/18,217.23 = 9,375.53/x
  3. Step 3: Cross multiply
    12,144.82x = 18,217.23 × 9,375.53
  4. Step 4: Simplify right side
    12,144.82x = 170,796,231.92
  5. Step 5: Solve for x
    x = 170,796,231.92/12,144.82
  6. Step 6: Final answer
    x = 14,063.30

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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.