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Finding the Fourth Proportional to 12,836.73, 17,723.19 and 8,593.26

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Solution

The fourth proportional to 12,836.73, 17,723.19 and 8,593.26 is: 11,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.73 : 17,723.19 = 8,593.26 : x
  2. Step 2: Convert to fraction form
    12,836.73/17,723.19 = 8,593.26/x
  3. Step 3: Cross multiply
    12,836.73x = 17,723.19 × 8,593.26
  4. Step 4: Simplify right side
    12,836.73x = 152,299,979.70
  5. Step 5: Solve for x
    x = 152,299,979.70/12,836.73
  6. Step 6: Final answer
    x = 11,864.39

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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.