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Finding the Fourth Proportional to 12,199.68, 18,299.52 and 3,880.96

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Solution

The fourth proportional to 12,199.68, 18,299.52 and 3,880.96 is: 5,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.68 : 18,299.52 = 3,880.96 : x
  2. Step 2: Convert to fraction form
    12,199.68/18,299.52 = 3,880.96/x
  3. Step 3: Cross multiply
    12,199.68x = 18,299.52 × 3,880.96
  4. Step 4: Simplify right side
    12,199.68x = 71,019,705.14
  5. Step 5: Solve for x
    x = 71,019,705.14/12,199.68
  6. Step 6: Final answer
    x = 5,821.44

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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.