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Finding the Fourth Proportional to 23,234.97, 32,065.84 and 13,163.49

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Solution

The fourth proportional to 23,234.97, 32,065.84 and 13,163.49 is: 18,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.97 : 32,065.84 = 13,163.49 : x
  2. Step 2: Convert to fraction form
    23,234.97/32,065.84 = 13,163.49/x
  3. Step 3: Cross multiply
    23,234.97x = 32,065.84 × 13,163.49
  4. Step 4: Simplify right side
    23,234.97x = 422,098,364.18
  5. Step 5: Solve for x
    x = 422,098,364.18/23,234.97
  6. Step 6: Final answer
    x = 18,166.51

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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.