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Finding the Fourth Proportional to 22,272.30, 33,414.61 and 19,824.23

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Solution

The fourth proportional to 22,272.30, 33,414.61 and 19,824.23 is: 29,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.30 : 33,414.61 = 19,824.23 : x
  2. Step 2: Convert to fraction form
    22,272.30/33,414.61 = 19,824.23/x
  3. Step 3: Cross multiply
    22,272.30x = 33,414.61 × 19,824.23
  4. Step 4: Simplify right side
    22,272.30x = 662,418,914.00
  5. Step 5: Solve for x
    x = 662,418,914.00/22,272.30
  6. Step 6: Final answer
    x = 29,741.83

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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.