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Finding the Fourth Proportional to 21,933.14, 32,912.66 and 8,091.86

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Solution

The fourth proportional to 21,933.14, 32,912.66 and 8,091.86 is: 12,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933.14 : 32,912.66 = 8,091.86 : x
  2. Step 2: Convert to fraction form
    21,933.14/32,912.66 = 8,091.86/x
  3. Step 3: Cross multiply
    21,933.14x = 32,912.66 × 8,091.86
  4. Step 4: Simplify right side
    21,933.14x = 266,324,492.61
  5. Step 5: Solve for x
    x = 266,324,492.61/21,933.14
  6. Step 6: Final answer
    x = 12,142.56

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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.