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Finding the Fourth Proportional to 20,284.01, 27,991.54 and 11,209.85

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Solution

The fourth proportional to 20,284.01, 27,991.54 and 11,209.85 is: 15,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.01 : 27,991.54 = 11,209.85 : x
  2. Step 2: Convert to fraction form
    20,284.01/27,991.54 = 11,209.85/x
  3. Step 3: Cross multiply
    20,284.01x = 27,991.54 × 11,209.85
  4. Step 4: Simplify right side
    20,284.01x = 313,780,964.67
  5. Step 5: Solve for x
    x = 313,780,964.67/20,284.01
  6. Step 6: Final answer
    x = 15,469.38

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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.