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Finding the Fourth Proportional to 22,843.22, 31,532.24 and 17,194.31

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Solution

The fourth proportional to 22,843.22, 31,532.24 and 17,194.31 is: 23,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.22 : 31,532.24 = 17,194.31 : x
  2. Step 2: Convert to fraction form
    22,843.22/31,532.24 = 17,194.31/x
  3. Step 3: Cross multiply
    22,843.22x = 31,532.24 × 17,194.31
  4. Step 4: Simplify right side
    22,843.22x = 542,175,102.41
  5. Step 5: Solve for x
    x = 542,175,102.41/22,843.22
  6. Step 6: Final answer
    x = 23,734.62

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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.