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Finding the Fourth Proportional to 20,209.14, 27,883.98 and 11,591.34

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Solution

The fourth proportional to 20,209.14, 27,883.98 and 11,591.34 is: 15,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.14 : 27,883.98 = 11,591.34 : x
  2. Step 2: Convert to fraction form
    20,209.14/27,883.98 = 11,591.34/x
  3. Step 3: Cross multiply
    20,209.14x = 27,883.98 × 11,591.34
  4. Step 4: Simplify right side
    20,209.14x = 323,212,692.73
  5. Step 5: Solve for x
    x = 323,212,692.73/20,209.14
  6. Step 6: Final answer
    x = 15,993.39

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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.