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Finding the Fourth Proportional to 24,469.20, 33,769.44 and 13,861.44

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Solution

The fourth proportional to 24,469.20, 33,769.44 and 13,861.44 is: 19,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.20 : 33,769.44 = 13,861.44 : x
  2. Step 2: Convert to fraction form
    24,469.20/33,769.44 = 13,861.44/x
  3. Step 3: Cross multiply
    24,469.20x = 33,769.44 × 13,861.44
  4. Step 4: Simplify right side
    24,469.20x = 468,093,066.39
  5. Step 5: Solve for x
    x = 468,093,066.39/24,469.20
  6. Step 6: Final answer
    x = 19,129.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.