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Finding the Fourth Proportional to 24,832.38, 34,268.69 and 13,654.38

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Solution

The fourth proportional to 24,832.38, 34,268.69 and 13,654.38 is: 18,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.38 : 34,268.69 = 13,654.38 : x
  2. Step 2: Convert to fraction form
    24,832.38/34,268.69 = 13,654.38/x
  3. Step 3: Cross multiply
    24,832.38x = 34,268.69 × 13,654.38
  4. Step 4: Simplify right side
    24,832.38x = 467,917,715.36
  5. Step 5: Solve for x
    x = 467,917,715.36/24,832.38
  6. Step 6: Final answer
    x = 18,843.05

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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.