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Finding the Fourth Proportional to 22,984.26, 31,716.62 and 12,912.18

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Solution

The fourth proportional to 22,984.26, 31,716.62 and 12,912.18 is: 17,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.26 : 31,716.62 = 12,912.18 : x
  2. Step 2: Convert to fraction form
    22,984.26/31,716.62 = 12,912.18/x
  3. Step 3: Cross multiply
    22,984.26x = 31,716.62 × 12,912.18
  4. Step 4: Simplify right side
    22,984.26x = 409,530,706.43
  5. Step 5: Solve for x
    x = 409,530,706.43/22,984.26
  6. Step 6: Final answer
    x = 17,817.88

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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.