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Finding the Fourth Proportional to 21,984.17, 30,338.19 and 11,912.61

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Solution

The fourth proportional to 21,984.17, 30,338.19 and 11,912.61 is: 16,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.17 : 30,338.19 = 11,912.61 : x
  2. Step 2: Convert to fraction form
    21,984.17/30,338.19 = 11,912.61/x
  3. Step 3: Cross multiply
    21,984.17x = 30,338.19 × 11,912.61
  4. Step 4: Simplify right side
    21,984.17x = 361,407,105.84
  5. Step 5: Solve for x
    x = 361,407,105.84/21,984.17
  6. Step 6: Final answer
    x = 16,439.42

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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.