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Finding the Fourth Proportional to 24,505, 33,817.44 and 13,327

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Solution

The fourth proportional to 24,505, 33,817.44 and 13,327 is: 18,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505 : 33,817.44 = 13,327 : x
  2. Step 2: Convert to fraction form
    24,505/33,817.44 = 13,327/x
  3. Step 3: Cross multiply
    24,505x = 33,817.44 × 13,327
  4. Step 4: Simplify right side
    24,505x = 450,685,022.88
  5. Step 5: Solve for x
    x = 450,685,022.88/24,505
  6. Step 6: Final answer
    x = 18,391.55

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Why These Related Problems?

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