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Finding the Fourth Proportional to 20,114.60, 27,759.87 and 11,163.84

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Solution

The fourth proportional to 20,114.60, 27,759.87 and 11,163.84 is: 15,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.60 : 27,759.87 = 11,163.84 : x
  2. Step 2: Convert to fraction form
    20,114.60/27,759.87 = 11,163.84/x
  3. Step 3: Cross multiply
    20,114.60x = 27,759.87 × 11,163.84
  4. Step 4: Simplify right side
    20,114.60x = 309,906,747.10
  5. Step 5: Solve for x
    x = 309,906,747.10/20,114.60
  6. Step 6: Final answer
    x = 15,407.06

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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.