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Finding the Fourth Proportional to 20,115.73, 27,759.67 and 11,163.34

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Solution

The fourth proportional to 20,115.73, 27,759.67 and 11,163.34 is: 15,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.73 : 27,759.67 = 11,163.34 : x
  2. Step 2: Convert to fraction form
    20,115.73/27,759.67 = 11,163.34/x
  3. Step 3: Cross multiply
    20,115.73x = 27,759.67 × 11,163.34
  4. Step 4: Simplify right side
    20,115.73x = 309,890,634.50
  5. Step 5: Solve for x
    x = 309,890,634.50/20,115.73
  6. Step 6: Final answer
    x = 15,405.39

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Why These Related Problems?

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