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Finding the Fourth Proportional to 12,227.49, 18,352.78 and 7,847.42

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Solution

The fourth proportional to 12,227.49, 18,352.78 and 7,847.42 is: 11,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.49 : 18,352.78 = 7,847.42 : x
  2. Step 2: Convert to fraction form
    12,227.49/18,352.78 = 7,847.42/x
  3. Step 3: Cross multiply
    12,227.49x = 18,352.78 × 7,847.42
  4. Step 4: Simplify right side
    12,227.49x = 144,021,861.45
  5. Step 5: Solve for x
    x = 144,021,861.45/12,227.49
  6. Step 6: Final answer
    x = 11,778.53

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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.