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Finding the Fourth Proportional to 20,652.09, 30,982.89 and 7,324.38

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Solution

The fourth proportional to 20,652.09, 30,982.89 and 7,324.38 is: 10,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.09 : 30,982.89 = 7,324.38 : x
  2. Step 2: Convert to fraction form
    20,652.09/30,982.89 = 7,324.38/x
  3. Step 3: Cross multiply
    20,652.09x = 30,982.89 × 7,324.38
  4. Step 4: Simplify right side
    20,652.09x = 226,930,459.86
  5. Step 5: Solve for x
    x = 226,930,459.86/20,652.09
  6. Step 6: Final answer
    x = 10,988.26

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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.