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Finding the Fourth Proportional to 20,676.67, 30,996.57 and 9,568.09

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Solution

The fourth proportional to 20,676.67, 30,996.57 and 9,568.09 is: 14,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.67 : 30,996.57 = 9,568.09 : x
  2. Step 2: Convert to fraction form
    20,676.67/30,996.57 = 9,568.09/x
  3. Step 3: Cross multiply
    20,676.67x = 30,996.57 × 9,568.09
  4. Step 4: Simplify right side
    20,676.67x = 296,578,046.08
  5. Step 5: Solve for x
    x = 296,578,046.08/20,676.67
  6. Step 6: Final answer
    x = 14,343.61

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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.