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Finding the Fourth Proportional to 22,662.45, 33,982.01 and 10,171.77

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Solution

The fourth proportional to 22,662.45, 33,982.01 and 10,171.77 is: 15,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.45 : 33,982.01 = 10,171.77 : x
  2. Step 2: Convert to fraction form
    22,662.45/33,982.01 = 10,171.77/x
  3. Step 3: Cross multiply
    22,662.45x = 33,982.01 × 10,171.77
  4. Step 4: Simplify right side
    22,662.45x = 345,657,177.14
  5. Step 5: Solve for x
    x = 345,657,177.14/22,662.45
  6. Step 6: Final answer
    x = 15,252.42

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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.