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Finding the Fourth Proportional to 21,942.15, 32,915.97 and 7,147.09

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Solution

The fourth proportional to 21,942.15, 32,915.97 and 7,147.09 is: 10,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.15 : 32,915.97 = 7,147.09 : x
  2. Step 2: Convert to fraction form
    21,942.15/32,915.97 = 7,147.09/x
  3. Step 3: Cross multiply
    21,942.15x = 32,915.97 × 7,147.09
  4. Step 4: Simplify right side
    21,942.15x = 235,253,441.17
  5. Step 5: Solve for x
    x = 235,253,441.17/21,942.15
  6. Step 6: Final answer
    x = 10,721.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.