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Finding the Fourth Proportional to 23,247.81, 32,080.92 and 13,175.66

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Solution

The fourth proportional to 23,247.81, 32,080.92 and 13,175.66 is: 18,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,247.81 : 32,080.92 = 13,175.66 : x
  2. Step 2: Convert to fraction form
    23,247.81/32,080.92 = 13,175.66/x
  3. Step 3: Cross multiply
    23,247.81x = 32,080.92 × 13,175.66
  4. Step 4: Simplify right side
    23,247.81x = 422,687,294.41
  5. Step 5: Solve for x
    x = 422,687,294.41/23,247.81
  6. Step 6: Final answer
    x = 18,181.81

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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.