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Finding the Fourth Proportional to 22,912.28, 31,620.18 and 12,843.96

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Solution

The fourth proportional to 22,912.28, 31,620.18 and 12,843.96 is: 17,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.28 : 31,620.18 = 12,843.96 : x
  2. Step 2: Convert to fraction form
    22,912.28/31,620.18 = 12,843.96/x
  3. Step 3: Cross multiply
    22,912.28x = 31,620.18 × 12,843.96
  4. Step 4: Simplify right side
    22,912.28x = 406,128,327.11
  5. Step 5: Solve for x
    x = 406,128,327.11/22,912.28
  6. Step 6: Final answer
    x = 17,725.36

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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.