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Finding the Fourth Proportional to 20,676.33, 30,998.97 and 10,143.09

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Solution

The fourth proportional to 20,676.33, 30,998.97 and 10,143.09 is: 15,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.33 : 30,998.97 = 10,143.09 : x
  2. Step 2: Convert to fraction form
    20,676.33/30,998.97 = 10,143.09/x
  3. Step 3: Cross multiply
    20,676.33x = 30,998.97 × 10,143.09
  4. Step 4: Simplify right side
    20,676.33x = 314,425,342.62
  5. Step 5: Solve for x
    x = 314,425,342.62/20,676.33
  6. Step 6: Final answer
    x = 15,207.02

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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.