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Finding the Fourth Proportional to 22,286.75, 33,400.96 and 9,131.94

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Solution

The fourth proportional to 22,286.75, 33,400.96 and 9,131.94 is: 13,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.75 : 33,400.96 = 9,131.94 : x
  2. Step 2: Convert to fraction form
    22,286.75/33,400.96 = 9,131.94/x
  3. Step 3: Cross multiply
    22,286.75x = 33,400.96 × 9,131.94
  4. Step 4: Simplify right side
    22,286.75x = 305,015,539.83
  5. Step 5: Solve for x
    x = 305,015,539.83/22,286.75
  6. Step 6: Final answer
    x = 13,685.96

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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.