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Finding the Fourth Proportional to 20,194.54, 27,869.08 and 10,996.70

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Solution

The fourth proportional to 20,194.54, 27,869.08 and 10,996.70 is: 15,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.54 : 27,869.08 = 10,996.70 : x
  2. Step 2: Convert to fraction form
    20,194.54/27,869.08 = 10,996.70/x
  3. Step 3: Cross multiply
    20,194.54x = 27,869.08 × 10,996.70
  4. Step 4: Simplify right side
    20,194.54x = 306,467,912.04
  5. Step 5: Solve for x
    x = 306,467,912.04/20,194.54
  6. Step 6: Final answer
    x = 15,175.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.