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Finding the Fourth Proportional to 20,163.94, 27,818.25 and 11,664.49

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Solution

The fourth proportional to 20,163.94, 27,818.25 and 11,664.49 is: 16,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.94 : 27,818.25 = 11,664.49 : x
  2. Step 2: Convert to fraction form
    20,163.94/27,818.25 = 11,664.49/x
  3. Step 3: Cross multiply
    20,163.94x = 27,818.25 × 11,664.49
  4. Step 4: Simplify right side
    20,163.94x = 324,485,698.94
  5. Step 5: Solve for x
    x = 324,485,698.94/20,163.94
  6. Step 6: Final answer
    x = 16,092.38

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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.