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Finding the Fourth Proportional to 22,292.92, 33,442.62 and 11,899

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Solution

The fourth proportional to 22,292.92, 33,442.62 and 11,899 is: 17,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.92 : 33,442.62 = 11,899 : x
  2. Step 2: Convert to fraction form
    22,292.92/33,442.62 = 11,899/x
  3. Step 3: Cross multiply
    22,292.92x = 33,442.62 × 11,899
  4. Step 4: Simplify right side
    22,292.92x = 397,933,735.38
  5. Step 5: Solve for x
    x = 397,933,735.38/22,292.92
  6. Step 6: Final answer
    x = 17,850.23

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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.