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Finding the Fourth Proportional to 16,200.26, 22,348.71 and 9,481.73

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Solution

The fourth proportional to 16,200.26, 22,348.71 and 9,481.73 is: 13,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.26 : 22,348.71 = 9,481.73 : x
  2. Step 2: Convert to fraction form
    16,200.26/22,348.71 = 9,481.73/x
  3. Step 3: Cross multiply
    16,200.26x = 22,348.71 × 9,481.73
  4. Step 4: Simplify right side
    16,200.26x = 211,904,434.07
  5. Step 5: Solve for x
    x = 211,904,434.07/16,200.26
  6. Step 6: Final answer
    x = 13,080.31

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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.