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Finding the Fourth Proportional to 20,667.33, 30,983.46 and 8,196.15

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Solution

The fourth proportional to 20,667.33, 30,983.46 and 8,196.15 is: 12,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,667.33 : 30,983.46 = 8,196.15 : x
  2. Step 2: Convert to fraction form
    20,667.33/30,983.46 = 8,196.15/x
  3. Step 3: Cross multiply
    20,667.33x = 30,983.46 × 8,196.15
  4. Step 4: Simplify right side
    20,667.33x = 253,945,085.68
  5. Step 5: Solve for x
    x = 253,945,085.68/20,667.33
  6. Step 6: Final answer
    x = 12,287.27

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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.