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Finding the Fourth Proportional to 22,632.75, 31,233.20 and 12,696.75

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Solution

The fourth proportional to 22,632.75, 31,233.20 and 12,696.75 is: 17,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.75 : 31,233.20 = 12,696.75 : x
  2. Step 2: Convert to fraction form
    22,632.75/31,233.20 = 12,696.75/x
  3. Step 3: Cross multiply
    22,632.75x = 31,233.20 × 12,696.75
  4. Step 4: Simplify right side
    22,632.75x = 396,560,068.62
  5. Step 5: Solve for x
    x = 396,560,068.62/22,632.75
  6. Step 6: Final answer
    x = 17,521.52

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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.