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Finding the Fourth Proportional to 14,906.48, 20,571.04 and 8,192.24

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Solution

The fourth proportional to 14,906.48, 20,571.04 and 8,192.24 is: 11,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.48 : 20,571.04 = 8,192.24 : x
  2. Step 2: Convert to fraction form
    14,906.48/20,571.04 = 8,192.24/x
  3. Step 3: Cross multiply
    14,906.48x = 20,571.04 × 8,192.24
  4. Step 4: Simplify right side
    14,906.48x = 168,522,896.73
  5. Step 5: Solve for x
    x = 168,522,896.73/14,906.48
  6. Step 6: Final answer
    x = 11,305.34

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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.