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Finding the Fourth Proportional to 23,691.88, 32,694.98 and 13,081.80

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Solution

The fourth proportional to 23,691.88, 32,694.98 and 13,081.80 is: 18,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.88 : 32,694.98 = 13,081.80 : x
  2. Step 2: Convert to fraction form
    23,691.88/32,694.98 = 13,081.80/x
  3. Step 3: Cross multiply
    23,691.88x = 32,694.98 × 13,081.80
  4. Step 4: Simplify right side
    23,691.88x = 427,709,189.36
  5. Step 5: Solve for x
    x = 427,709,189.36/23,691.88
  6. Step 6: Final answer
    x = 18,052.99

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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.