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Finding the Fourth Proportional to 21,967.06, 32,942.31 and 7,923.34

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Solution

The fourth proportional to 21,967.06, 32,942.31 and 7,923.34 is: 11,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.06 : 32,942.31 = 7,923.34 : x
  2. Step 2: Convert to fraction form
    21,967.06/32,942.31 = 7,923.34/x
  3. Step 3: Cross multiply
    21,967.06x = 32,942.31 × 7,923.34
  4. Step 4: Simplify right side
    21,967.06x = 261,013,122.52
  5. Step 5: Solve for x
    x = 261,013,122.52/21,967.06
  6. Step 6: Final answer
    x = 11,882.02

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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.