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Finding the Fourth Proportional to 13,663.61, 20,469.50 and 8,105.21

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Solution

The fourth proportional to 13,663.61, 20,469.50 and 8,105.21 is: 12,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.61 : 20,469.50 = 8,105.21 : x
  2. Step 2: Convert to fraction form
    13,663.61/20,469.50 = 8,105.21/x
  3. Step 3: Cross multiply
    13,663.61x = 20,469.50 × 8,105.21
  4. Step 4: Simplify right side
    13,663.61x = 165,909,555.57
  5. Step 5: Solve for x
    x = 165,909,555.57/13,663.61
  6. Step 6: Final answer
    x = 12,142.44

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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.