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Finding the Fourth Proportional to 12,149.08, 18,229.38 and 7,228.42

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Solution

The fourth proportional to 12,149.08, 18,229.38 and 7,228.42 is: 10,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.08 : 18,229.38 = 7,228.42 : x
  2. Step 2: Convert to fraction form
    12,149.08/18,229.38 = 7,228.42/x
  3. Step 3: Cross multiply
    12,149.08x = 18,229.38 × 7,228.42
  4. Step 4: Simplify right side
    12,149.08x = 131,769,614.98
  5. Step 5: Solve for x
    x = 131,769,614.98/12,149.08
  6. Step 6: Final answer
    x = 10,846.06

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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.