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Finding the Fourth Proportional to 23,306.91, 32,163.48 and 12,696.63

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Solution

The fourth proportional to 23,306.91, 32,163.48 and 12,696.63 is: 17,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,306.91 : 32,163.48 = 12,696.63 : x
  2. Step 2: Convert to fraction form
    23,306.91/32,163.48 = 12,696.63/x
  3. Step 3: Cross multiply
    23,306.91x = 32,163.48 × 12,696.63
  4. Step 4: Simplify right side
    23,306.91x = 408,367,805.07
  5. Step 5: Solve for x
    x = 408,367,805.07/23,306.91
  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.