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Finding the Fourth Proportional to 21,711.57, 32,571.26 and 7,679.73

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Solution

The fourth proportional to 21,711.57, 32,571.26 and 7,679.73 is: 11,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.57 : 32,571.26 = 7,679.73 : x
  2. Step 2: Convert to fraction form
    21,711.57/32,571.26 = 7,679.73/x
  3. Step 3: Cross multiply
    21,711.57x = 32,571.26 × 7,679.73
  4. Step 4: Simplify right side
    21,711.57x = 250,138,444.16
  5. Step 5: Solve for x
    x = 250,138,444.16/21,711.57
  6. Step 6: Final answer
    x = 11,520.97

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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.