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Finding the Fourth Proportional to 22,188.94, 33,286.72 and 8,145.78

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Solution

The fourth proportional to 22,188.94, 33,286.72 and 8,145.78 is: 12,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,188.94 : 33,286.72 = 8,145.78 : x
  2. Step 2: Convert to fraction form
    22,188.94/33,286.72 = 8,145.78/x
  3. Step 3: Cross multiply
    22,188.94x = 33,286.72 × 8,145.78
  4. Step 4: Simplify right side
    22,188.94x = 271,146,298.04
  5. Step 5: Solve for x
    x = 271,146,298.04/22,188.94
  6. Step 6: Final answer
    x = 12,219.89

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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.