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Finding the Fourth Proportional to 12,200.96, 18,323.04 and 11,224.96

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Solution

The fourth proportional to 12,200.96, 18,323.04 and 11,224.96 is: 16,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.96 : 18,323.04 = 11,224.96 : x
  2. Step 2: Convert to fraction form
    12,200.96/18,323.04 = 11,224.96/x
  3. Step 3: Cross multiply
    12,200.96x = 18,323.04 × 11,224.96
  4. Step 4: Simplify right side
    12,200.96x = 205,675,391.08
  5. Step 5: Solve for x
    x = 205,675,391.08/12,200.96
  6. Step 6: Final answer
    x = 16,857.31

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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.