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Finding the Fourth Proportional to 12,227.32, 18,338.02 and 5,647.18

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Solution

The fourth proportional to 12,227.32, 18,338.02 and 5,647.18 is: 8,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.32 : 18,338.02 = 5,647.18 : x
  2. Step 2: Convert to fraction form
    12,227.32/18,338.02 = 5,647.18/x
  3. Step 3: Cross multiply
    12,227.32x = 18,338.02 × 5,647.18
  4. Step 4: Simplify right side
    12,227.32x = 103,558,099.78
  5. Step 5: Solve for x
    x = 103,558,099.78/12,227.32
  6. Step 6: Final answer
    x = 8,469.40

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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.