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Finding the Fourth Proportional to 24,832.63, 34,269.02 and 13,654.63

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Solution

The fourth proportional to 24,832.63, 34,269.02 and 13,654.63 is: 18,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.63 : 34,269.02 = 13,654.63 : x
  2. Step 2: Convert to fraction form
    24,832.63/34,269.02 = 13,654.63/x
  3. Step 3: Cross multiply
    24,832.63x = 34,269.02 × 13,654.63
  4. Step 4: Simplify right side
    24,832.63x = 467,930,788.56
  5. Step 5: Solve for x
    x = 467,930,788.56/24,832.63
  6. Step 6: Final answer
    x = 18,843.38

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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.