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Finding the Fourth Proportional to 23,306.84, 32,163.40 and 12,696.46

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Solution

The fourth proportional to 23,306.84, 32,163.40 and 12,696.46 is: 17,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,306.84 : 32,163.40 = 12,696.46 : x
  2. Step 2: Convert to fraction form
    23,306.84/32,163.40 = 12,696.46/x
  3. Step 3: Cross multiply
    23,306.84x = 32,163.40 × 12,696.46
  4. Step 4: Simplify right side
    23,306.84x = 408,361,321.56
  5. Step 5: Solve for x
    x = 408,361,321.56/23,306.84
  6. Step 6: Final answer
    x = 17,521.09

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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.