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Finding the Fourth Proportional to 13,640.62, 20,439.95 and 8,082.90

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Solution

The fourth proportional to 13,640.62, 20,439.95 and 8,082.90 is: 12,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.62 : 20,439.95 = 8,082.90 : x
  2. Step 2: Convert to fraction form
    13,640.62/20,439.95 = 8,082.90/x
  3. Step 3: Cross multiply
    13,640.62x = 20,439.95 × 8,082.90
  4. Step 4: Simplify right side
    13,640.62x = 165,214,071.86
  5. Step 5: Solve for x
    x = 165,214,071.86/13,640.62
  6. Step 6: Final answer
    x = 12,111.92

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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.