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Finding the Fourth Proportional to 23,471.20, 32,388.96 and 12,858.73

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Solution

The fourth proportional to 23,471.20, 32,388.96 and 12,858.73 is: 17,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.20 : 32,388.96 = 12,858.73 : x
  2. Step 2: Convert to fraction form
    23,471.20/32,388.96 = 12,858.73/x
  3. Step 3: Cross multiply
    23,471.20x = 32,388.96 × 12,858.73
  4. Step 4: Simplify right side
    23,471.20x = 416,480,891.62
  5. Step 5: Solve for x
    x = 416,480,891.62/23,471.20
  6. Step 6: Final answer
    x = 17,744.34

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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.