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Finding the Fourth Proportional to 23,843.29, 32,902.19 and 13,232.41

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Solution

The fourth proportional to 23,843.29, 32,902.19 and 13,232.41 is: 18,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.29 : 32,902.19 = 13,232.41 : x
  2. Step 2: Convert to fraction form
    23,843.29/32,902.19 = 13,232.41/x
  3. Step 3: Cross multiply
    23,843.29x = 32,902.19 × 13,232.41
  4. Step 4: Simplify right side
    23,843.29x = 435,375,201.82
  5. Step 5: Solve for x
    x = 435,375,201.82/23,843.29
  6. Step 6: Final answer
    x = 18,259.86

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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.