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Finding the Fourth Proportional to 20,212.44, 27,893.20 and 11,716.20

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Solution

The fourth proportional to 20,212.44, 27,893.20 and 11,716.20 is: 16,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.44 : 27,893.20 = 11,716.20 : x
  2. Step 2: Convert to fraction form
    20,212.44/27,893.20 = 11,716.20/x
  3. Step 3: Cross multiply
    20,212.44x = 27,893.20 × 11,716.20
  4. Step 4: Simplify right side
    20,212.44x = 326,802,309.84
  5. Step 5: Solve for x
    x = 326,802,309.84/20,212.44
  6. Step 6: Final answer
    x = 16,168.38

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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.