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Finding the Fourth Proportional to 22,662.77, 33,982.48 and 10,172.09

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Solution

The fourth proportional to 22,662.77, 33,982.48 and 10,172.09 is: 15,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.77 : 33,982.48 = 10,172.09 : x
  2. Step 2: Convert to fraction form
    22,662.77/33,982.48 = 10,172.09/x
  3. Step 3: Cross multiply
    22,662.77x = 33,982.48 × 10,172.09
  4. Step 4: Simplify right side
    22,662.77x = 345,672,624.21
  5. Step 5: Solve for x
    x = 345,672,624.21/22,662.77
  6. Step 6: Final answer
    x = 15,252.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.