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Finding the Fourth Proportional to 14,906.86, 20,571.96 and 8,192.73

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Solution

The fourth proportional to 14,906.86, 20,571.96 and 8,192.73 is: 11,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.86 : 20,571.96 = 8,192.73 : x
  2. Step 2: Convert to fraction form
    14,906.86/20,571.96 = 8,192.73/x
  3. Step 3: Cross multiply
    14,906.86x = 20,571.96 × 8,192.73
  4. Step 4: Simplify right side
    14,906.86x = 168,540,410.99
  5. Step 5: Solve for x
    x = 168,540,410.99/14,906.86
  6. Step 6: Final answer
    x = 11,306.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.