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Finding the Fourth Proportional to 22,422.62, 33,629.35 and 8,380.06

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Solution

The fourth proportional to 22,422.62, 33,629.35 and 8,380.06 is: 12,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.62 : 33,629.35 = 8,380.06 : x
  2. Step 2: Convert to fraction form
    22,422.62/33,629.35 = 8,380.06/x
  3. Step 3: Cross multiply
    22,422.62x = 33,629.35 × 8,380.06
  4. Step 4: Simplify right side
    22,422.62x = 281,815,865.74
  5. Step 5: Solve for x
    x = 281,815,865.74/22,422.62
  6. Step 6: Final answer
    x = 12,568.37

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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.