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Finding the Fourth Proportional to 23,691.86, 32,694.37 and 13,081.22

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Solution

The fourth proportional to 23,691.86, 32,694.37 and 13,081.22 is: 18,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.86 : 32,694.37 = 13,081.22 : x
  2. Step 2: Convert to fraction form
    23,691.86/32,694.37 = 13,081.22/x
  3. Step 3: Cross multiply
    23,691.86x = 32,694.37 × 13,081.22
  4. Step 4: Simplify right side
    23,691.86x = 427,682,050.56
  5. Step 5: Solve for x
    x = 427,682,050.56/23,691.86
  6. Step 6: Final answer
    x = 18,051.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.