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Finding the Fourth Proportional to 22,241.75, 33,341.18 and 8,194.09

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Solution

The fourth proportional to 22,241.75, 33,341.18 and 8,194.09 is: 12,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.75 : 33,341.18 = 8,194.09 : x
  2. Step 2: Convert to fraction form
    22,241.75/33,341.18 = 8,194.09/x
  3. Step 3: Cross multiply
    22,241.75x = 33,341.18 × 8,194.09
  4. Step 4: Simplify right side
    22,241.75x = 273,200,629.63
  5. Step 5: Solve for x
    x = 273,200,629.63/22,241.75
  6. Step 6: Final answer
    x = 12,283.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.