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Finding the Fourth Proportional to 22,232.12, 33,361.30 and 8,202.04

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Solution

The fourth proportional to 22,232.12, 33,361.30 and 8,202.04 is: 12,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.12 : 33,361.30 = 8,202.04 : x
  2. Step 2: Convert to fraction form
    22,232.12/33,361.30 = 8,202.04/x
  3. Step 3: Cross multiply
    22,232.12x = 33,361.30 × 8,202.04
  4. Step 4: Simplify right side
    22,232.12x = 273,630,717.05
  5. Step 5: Solve for x
    x = 273,630,717.05/22,232.12
  6. Step 6: Final answer
    x = 12,307.90

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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.