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Finding the Fourth Proportional to 22,346.28, 33,524.10 and 9,198.54

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Solution

The fourth proportional to 22,346.28, 33,524.10 and 9,198.54 is: 13,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.28 : 33,524.10 = 9,198.54 : x
  2. Step 2: Convert to fraction form
    22,346.28/33,524.10 = 9,198.54/x
  3. Step 3: Cross multiply
    22,346.28x = 33,524.10 × 9,198.54
  4. Step 4: Simplify right side
    22,346.28x = 308,372,774.81
  5. Step 5: Solve for x
    x = 308,372,774.81/22,346.28
  6. Step 6: Final answer
    x = 13,799.74

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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.