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Finding the Fourth Proportional to 12,446.14, 18,669.22 and 3,680.38

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Solution

The fourth proportional to 12,446.14, 18,669.22 and 3,680.38 is: 5,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.14 : 18,669.22 = 3,680.38 : x
  2. Step 2: Convert to fraction form
    12,446.14/18,669.22 = 3,680.38/x
  3. Step 3: Cross multiply
    12,446.14x = 18,669.22 × 3,680.38
  4. Step 4: Simplify right side
    12,446.14x = 68,709,823.90
  5. Step 5: Solve for x
    x = 68,709,823.90/12,446.14
  6. Step 6: Final answer
    x = 5,520.57

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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.