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Finding the Fourth Proportional to 20,147.24, 27,801.24 and 11,194.20

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Solution

The fourth proportional to 20,147.24, 27,801.24 and 11,194.20 is: 15,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.24 : 27,801.24 = 11,194.20 : x
  2. Step 2: Convert to fraction form
    20,147.24/27,801.24 = 11,194.20/x
  3. Step 3: Cross multiply
    20,147.24x = 27,801.24 × 11,194.20
  4. Step 4: Simplify right side
    20,147.24x = 311,212,640.81
  5. Step 5: Solve for x
    x = 311,212,640.81/20,147.24
  6. Step 6: Final answer
    x = 15,446.91

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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.