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Finding the Fourth Proportional to 22,296.29, 33,447.68 and 11,902.37

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Solution

The fourth proportional to 22,296.29, 33,447.68 and 11,902.37 is: 17,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.29 : 33,447.68 = 11,902.37 : x
  2. Step 2: Convert to fraction form
    22,296.29/33,447.68 = 11,902.37/x
  3. Step 3: Cross multiply
    22,296.29x = 33,447.68 × 11,902.37
  4. Step 4: Simplify right side
    22,296.29x = 398,106,436.25
  5. Step 5: Solve for x
    x = 398,106,436.25/22,296.29
  6. Step 6: Final answer
    x = 17,855.28

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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.