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Finding the Fourth Proportional to 12,199.92, 18,284.88 and 5,616.96

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Solution

The fourth proportional to 12,199.92, 18,284.88 and 5,616.96 is: 8,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.92 : 18,284.88 = 5,616.96 : x
  2. Step 2: Convert to fraction form
    12,199.92/18,284.88 = 5,616.96/x
  3. Step 3: Cross multiply
    12,199.92x = 18,284.88 × 5,616.96
  4. Step 4: Simplify right side
    12,199.92x = 102,705,439.56
  5. Step 5: Solve for x
    x = 102,705,439.56/12,199.92
  6. Step 6: Final answer
    x = 8,418.53

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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.