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Finding the Fourth Proportional to 23,691.78, 32,694.02 and 13,081.18

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Solution

The fourth proportional to 23,691.78, 32,694.02 and 13,081.18 is: 18,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.78 : 32,694.02 = 13,081.18 : x
  2. Step 2: Convert to fraction form
    23,691.78/32,694.02 = 13,081.18/x
  3. Step 3: Cross multiply
    23,691.78x = 32,694.02 × 13,081.18
  4. Step 4: Simplify right side
    23,691.78x = 427,676,360.54
  5. Step 5: Solve for x
    x = 427,676,360.54/23,691.78
  6. Step 6: Final answer
    x = 18,051.68

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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.