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Finding the Fourth Proportional to 20,141.94, 30,217.23 and 8,448.42

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Solution

The fourth proportional to 20,141.94, 30,217.23 and 8,448.42 is: 12,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.94 : 30,217.23 = 8,448.42 : x
  2. Step 2: Convert to fraction form
    20,141.94/30,217.23 = 8,448.42/x
  3. Step 3: Cross multiply
    20,141.94x = 30,217.23 × 8,448.42
  4. Step 4: Simplify right side
    20,141.94x = 255,287,850.28
  5. Step 5: Solve for x
    x = 255,287,850.28/20,141.94
  6. Step 6: Final answer
    x = 12,674.44

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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.