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Finding the Fourth Proportional to 20,083.26, 27,713.83 and 11,584.88

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Solution

The fourth proportional to 20,083.26, 27,713.83 and 11,584.88 is: 15,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.26 : 27,713.83 = 11,584.88 : x
  2. Step 2: Convert to fraction form
    20,083.26/27,713.83 = 11,584.88/x
  3. Step 3: Cross multiply
    20,083.26x = 27,713.83 × 11,584.88
  4. Step 4: Simplify right side
    20,083.26x = 321,061,270.80
  5. Step 5: Solve for x
    x = 321,061,270.80/20,083.26
  6. Step 6: Final answer
    x = 15,986.51

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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.