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Finding the Fourth Proportional to 22,661.28, 33,991.25 and 13,294.10

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Solution

The fourth proportional to 22,661.28, 33,991.25 and 13,294.10 is: 19,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.28 : 33,991.25 = 13,294.10 : x
  2. Step 2: Convert to fraction form
    22,661.28/33,991.25 = 13,294.10/x
  3. Step 3: Cross multiply
    22,661.28x = 33,991.25 × 13,294.10
  4. Step 4: Simplify right side
    22,661.28x = 451,883,095.13
  5. Step 5: Solve for x
    x = 451,883,095.13/22,661.28
  6. Step 6: Final answer
    x = 19,940.76

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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.