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Finding the Fourth Proportional to 20,166.28, 27,827.88 and 11,213.24

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Solution

The fourth proportional to 20,166.28, 27,827.88 and 11,213.24 is: 15,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.28 : 27,827.88 = 11,213.24 : x
  2. Step 2: Convert to fraction form
    20,166.28/27,827.88 = 11,213.24/x
  3. Step 3: Cross multiply
    20,166.28x = 27,827.88 × 11,213.24
  4. Step 4: Simplify right side
    20,166.28x = 312,040,697.13
  5. Step 5: Solve for x
    x = 312,040,697.13/20,166.28
  6. Step 6: Final answer
    x = 15,473.39

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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.