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Finding the Fourth Proportional to 20,147.88, 27,801.64 and 11,194.24

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Solution

The fourth proportional to 20,147.88, 27,801.64 and 11,194.24 is: 15,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.88 : 27,801.64 = 11,194.24 : x
  2. Step 2: Convert to fraction form
    20,147.88/27,801.64 = 11,194.24/x
  3. Step 3: Cross multiply
    20,147.88x = 27,801.64 × 11,194.24
  4. Step 4: Simplify right side
    20,147.88x = 311,218,230.55
  5. Step 5: Solve for x
    x = 311,218,230.55/20,147.88
  6. Step 6: Final answer
    x = 15,446.70

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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.