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Finding the Fourth Proportional to 22,662.27, 33,981.73 and 10,171.59

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Solution

The fourth proportional to 22,662.27, 33,981.73 and 10,171.59 is: 15,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.27 : 33,981.73 = 10,171.59 : x
  2. Step 2: Convert to fraction form
    22,662.27/33,981.73 = 10,171.59/x
  3. Step 3: Cross multiply
    22,662.27x = 33,981.73 × 10,171.59
  4. Step 4: Simplify right side
    22,662.27x = 345,648,004.28
  5. Step 5: Solve for x
    x = 345,648,004.28/22,662.27
  6. Step 6: Final answer
    x = 15,252.14

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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.