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Finding the Fourth Proportional to 20,243.67, 30,381.08 and 13,221.78

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Solution

The fourth proportional to 20,243.67, 30,381.08 and 13,221.78 is: 19,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243.67 : 30,381.08 = 13,221.78 : x
  2. Step 2: Convert to fraction form
    20,243.67/30,381.08 = 13,221.78/x
  3. Step 3: Cross multiply
    20,243.67x = 30,381.08 × 13,221.78
  4. Step 4: Simplify right side
    20,243.67x = 401,691,889.81
  5. Step 5: Solve for x
    x = 401,691,889.81/20,243.67
  6. Step 6: Final answer
    x = 19,842.84

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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.