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Finding the Fourth Proportional to 13,627.80, 20,448.05 and 8,092.04

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Solution

The fourth proportional to 13,627.80, 20,448.05 and 8,092.04 is: 12,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.80 : 20,448.05 = 8,092.04 : x
  2. Step 2: Convert to fraction form
    13,627.80/20,448.05 = 8,092.04/x
  3. Step 3: Cross multiply
    13,627.80x = 20,448.05 × 8,092.04
  4. Step 4: Simplify right side
    13,627.80x = 165,466,295.82
  5. Step 5: Solve for x
    x = 165,466,295.82/13,627.80
  6. Step 6: Final answer
    x = 12,141.82

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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.