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Finding the Fourth Proportional to 22,331.82, 33,500.37 and 9,846.54

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Solution

The fourth proportional to 22,331.82, 33,500.37 and 9,846.54 is: 14,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331.82 : 33,500.37 = 9,846.54 : x
  2. Step 2: Convert to fraction form
    22,331.82/33,500.37 = 9,846.54/x
  3. Step 3: Cross multiply
    22,331.82x = 33,500.37 × 9,846.54
  4. Step 4: Simplify right side
    22,331.82x = 329,862,733.22
  5. Step 5: Solve for x
    x = 329,862,733.22/22,331.82
  6. Step 6: Final answer
    x = 14,770.97

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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.