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Finding the Fourth Proportional to 22,296.98, 33,447.30 and 11,197.96

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Solution

The fourth proportional to 22,296.98, 33,447.30 and 11,197.96 is: 16,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.98 : 33,447.30 = 11,197.96 : x
  2. Step 2: Convert to fraction form
    22,296.98/33,447.30 = 11,197.96/x
  3. Step 3: Cross multiply
    22,296.98x = 33,447.30 × 11,197.96
  4. Step 4: Simplify right side
    22,296.98x = 374,541,527.51
  5. Step 5: Solve for x
    x = 374,541,527.51/22,296.98
  6. Step 6: Final answer
    x = 16,797.86

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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.