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Finding the Fourth Proportional to 22,353.44, 33,534.23 and 9,198.63

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Solution

The fourth proportional to 22,353.44, 33,534.23 and 9,198.63 is: 13,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353.44 : 33,534.23 = 9,198.63 : x
  2. Step 2: Convert to fraction form
    22,353.44/33,534.23 = 9,198.63/x
  3. Step 3: Cross multiply
    22,353.44x = 33,534.23 × 9,198.63
  4. Step 4: Simplify right side
    22,353.44x = 308,468,928.11
  5. Step 5: Solve for x
    x = 308,468,928.11/22,353.44
  6. Step 6: Final answer
    x = 13,799.62

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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.