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Finding the Fourth Proportional to 18,179.97, 27,245.09 and 13,734

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Solution

The fourth proportional to 18,179.97, 27,245.09 and 13,734 is: 20,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,179.97 : 27,245.09 = 13,734 : x
  2. Step 2: Convert to fraction form
    18,179.97/27,245.09 = 13,734/x
  3. Step 3: Cross multiply
    18,179.97x = 27,245.09 × 13,734
  4. Step 4: Simplify right side
    18,179.97x = 374,183,997.39
  5. Step 5: Solve for x
    x = 374,183,997.39/18,179.97
  6. Step 6: Final answer
    x = 20,582.21

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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.