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Finding the Fourth Proportional to 20,182.26, 27,852.42 and 16,819.44

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Solution

The fourth proportional to 20,182.26, 27,852.42 and 16,819.44 is: 23,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.26 : 27,852.42 = 16,819.44 : x
  2. Step 2: Convert to fraction form
    20,182.26/27,852.42 = 16,819.44/x
  3. Step 3: Cross multiply
    20,182.26x = 27,852.42 × 16,819.44
  4. Step 4: Simplify right side
    20,182.26x = 468,462,107.04
  5. Step 5: Solve for x
    x = 468,462,107.04/20,182.26
  6. Step 6: Final answer
    x = 23,211.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.