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Finding the Fourth Proportional to 22,665.90, 33,969.26 and 11,563.22

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Solution

The fourth proportional to 22,665.90, 33,969.26 and 11,563.22 is: 17,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.90 : 33,969.26 = 11,563.22 : x
  2. Step 2: Convert to fraction form
    22,665.90/33,969.26 = 11,563.22/x
  3. Step 3: Cross multiply
    22,665.90x = 33,969.26 × 11,563.22
  4. Step 4: Simplify right side
    22,665.90x = 392,794,026.62
  5. Step 5: Solve for x
    x = 392,794,026.62/22,665.90
  6. Step 6: Final answer
    x = 17,329.73

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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.