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Finding the Fourth Proportional to 23,832.98, 32,891.40 and 13,224.68

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Solution

The fourth proportional to 23,832.98, 32,891.40 and 13,224.68 is: 18,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.98 : 32,891.40 = 13,224.68 : x
  2. Step 2: Convert to fraction form
    23,832.98/32,891.40 = 13,224.68/x
  3. Step 3: Cross multiply
    23,832.98x = 32,891.40 × 13,224.68
  4. Step 4: Simplify right side
    23,832.98x = 434,978,239.75
  5. Step 5: Solve for x
    x = 434,978,239.75/23,832.98
  6. Step 6: Final answer
    x = 18,251.11

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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.