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Finding the Fourth Proportional to 20,141.19, 27,793.89 and 11,189.24

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Solution

The fourth proportional to 20,141.19, 27,793.89 and 11,189.24 is: 15,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.19 : 27,793.89 = 11,189.24 : x
  2. Step 2: Convert to fraction form
    20,141.19/27,793.89 = 11,189.24/x
  3. Step 3: Cross multiply
    20,141.19x = 27,793.89 × 11,189.24
  4. Step 4: Simplify right side
    20,141.19x = 310,992,505.74
  5. Step 5: Solve for x
    x = 310,992,505.74/20,141.19
  6. Step 6: Final answer
    x = 15,440.62

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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.