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Finding the Fourth Proportional to 23,306.81, 32,163.89 and 12,696.41

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Solution

The fourth proportional to 23,306.81, 32,163.89 and 12,696.41 is: 17,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,306.81 : 32,163.89 = 12,696.41 : x
  2. Step 2: Convert to fraction form
    23,306.81/32,163.89 = 12,696.41/x
  3. Step 3: Cross multiply
    23,306.81x = 32,163.89 × 12,696.41
  4. Step 4: Simplify right side
    23,306.81x = 408,365,951.56
  5. Step 5: Solve for x
    x = 408,365,951.56/23,306.81
  6. Step 6: Final answer
    x = 17,521.32

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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.