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Finding the Fourth Proportional to 20,193.77, 27,868.32 and 11,696.27

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Solution

The fourth proportional to 20,193.77, 27,868.32 and 11,696.27 is: 16,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.77 : 27,868.32 = 11,696.27 : x
  2. Step 2: Convert to fraction form
    20,193.77/27,868.32 = 11,696.27/x
  3. Step 3: Cross multiply
    20,193.77x = 27,868.32 × 11,696.27
  4. Step 4: Simplify right side
    20,193.77x = 325,955,255.82
  5. Step 5: Solve for x
    x = 325,955,255.82/20,193.77
  6. Step 6: Final answer
    x = 16,141.38

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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.