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Finding the Fourth Proportional to 13,021.92, 19,504.80 and 8,092.80

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Solution

The fourth proportional to 13,021.92, 19,504.80 and 8,092.80 is: 12,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.92 : 19,504.80 = 8,092.80 : x
  2. Step 2: Convert to fraction form
    13,021.92/19,504.80 = 8,092.80/x
  3. Step 3: Cross multiply
    13,021.92x = 19,504.80 × 8,092.80
  4. Step 4: Simplify right side
    13,021.92x = 157,848,445.44
  5. Step 5: Solve for x
    x = 157,848,445.44/13,021.92
  6. Step 6: Final answer
    x = 12,121.75

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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.