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Finding the Fourth Proportional to 12,446.28, 18,663.84 and 3,678.12

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Solution

The fourth proportional to 12,446.28, 18,663.84 and 3,678.12 is: 5,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.28 : 18,663.84 = 3,678.12 : x
  2. Step 2: Convert to fraction form
    12,446.28/18,663.84 = 3,678.12/x
  3. Step 3: Cross multiply
    12,446.28x = 18,663.84 × 3,678.12
  4. Step 4: Simplify right side
    12,446.28x = 68,647,843.18
  5. Step 5: Solve for x
    x = 68,647,843.18/12,446.28
  6. Step 6: Final answer
    x = 5,515.53

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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.