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Finding the Fourth Proportional to 21,985.22, 32,974.19 and 7,942.56

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Solution

The fourth proportional to 21,985.22, 32,974.19 and 7,942.56 is: 11,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.22 : 32,974.19 = 7,942.56 : x
  2. Step 2: Convert to fraction form
    21,985.22/32,974.19 = 7,942.56/x
  3. Step 3: Cross multiply
    21,985.22x = 32,974.19 × 7,942.56
  4. Step 4: Simplify right side
    21,985.22x = 261,899,348.94
  5. Step 5: Solve for x
    x = 261,899,348.94/21,985.22
  6. Step 6: Final answer
    x = 11,912.52

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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.