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Finding the Fourth Proportional to 21,342, 29,452.76 and 11,912.38

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Solution

The fourth proportional to 21,342, 29,452.76 and 11,912.38 is: 16,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342 : 29,452.76 = 11,912.38 : x
  2. Step 2: Convert to fraction form
    21,342/29,452.76 = 11,912.38/x
  3. Step 3: Cross multiply
    21,342x = 29,452.76 × 11,912.38
  4. Step 4: Simplify right side
    21,342x = 350,852,469.17
  5. Step 5: Solve for x
    x = 350,852,469.17/21,342
  6. Step 6: Final answer
    x = 16,439.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.