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Finding the Fourth Proportional to 20,169.30, 27,833.49 and 11,216.28

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Solution

The fourth proportional to 20,169.30, 27,833.49 and 11,216.28 is: 15,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169.30 : 27,833.49 = 11,216.28 : x
  2. Step 2: Convert to fraction form
    20,169.30/27,833.49 = 11,216.28/x
  3. Step 3: Cross multiply
    20,169.30x = 27,833.49 × 11,216.28
  4. Step 4: Simplify right side
    20,169.30x = 312,188,217.22
  5. Step 5: Solve for x
    x = 312,188,217.22/20,169.30
  6. Step 6: Final answer
    x = 15,478.39

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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.