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Finding the Fourth Proportional to 20,231.64, 30,351.78 and 7,084.44

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Solution

The fourth proportional to 20,231.64, 30,351.78 and 7,084.44 is: 10,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.64 : 30,351.78 = 7,084.44 : x
  2. Step 2: Convert to fraction form
    20,231.64/30,351.78 = 7,084.44/x
  3. Step 3: Cross multiply
    20,231.64x = 30,351.78 × 7,084.44
  4. Step 4: Simplify right side
    20,231.64x = 215,025,364.30
  5. Step 5: Solve for x
    x = 215,025,364.30/20,231.64
  6. Step 6: Final answer
    x = 10,628.17

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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.