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Finding the Fourth Proportional to 20,211, 27,891.18 and 11,829.12

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Solution

The fourth proportional to 20,211, 27,891.18 and 11,829.12 is: 16,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211 : 27,891.18 = 11,829.12 : x
  2. Step 2: Convert to fraction form
    20,211/27,891.18 = 11,829.12/x
  3. Step 3: Cross multiply
    20,211x = 27,891.18 × 11,829.12
  4. Step 4: Simplify right side
    20,211x = 329,928,115.16
  5. Step 5: Solve for x
    x = 329,928,115.16/20,211
  6. Step 6: Final answer
    x = 16,324.19

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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.