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Finding the Fourth Proportional to 22,912.67, 31,619.25 and 12,841.55

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Solution

The fourth proportional to 22,912.67, 31,619.25 and 12,841.55 is: 17,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.67 : 31,619.25 = 12,841.55 : x
  2. Step 2: Convert to fraction form
    22,912.67/31,619.25 = 12,841.55/x
  3. Step 3: Cross multiply
    22,912.67x = 31,619.25 × 12,841.55
  4. Step 4: Simplify right side
    22,912.67x = 406,040,179.84
  5. Step 5: Solve for x
    x = 406,040,179.84/22,912.67
  6. Step 6: Final answer
    x = 17,721.21

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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.