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Finding the Fourth Proportional to 20,194.83, 27,871.49 and 11,584.38

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Solution

The fourth proportional to 20,194.83, 27,871.49 and 11,584.38 is: 15,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.83 : 27,871.49 = 11,584.38 : x
  2. Step 2: Convert to fraction form
    20,194.83/27,871.49 = 11,584.38/x
  3. Step 3: Cross multiply
    20,194.83x = 27,871.49 × 11,584.38
  4. Step 4: Simplify right side
    20,194.83x = 322,874,064.81
  5. Step 5: Solve for x
    x = 322,874,064.81/20,194.83
  6. Step 6: Final answer
    x = 15,987.95

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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.