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Finding the Fourth Proportional to 23,213.75, 32,022.41 and 20,040.17

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Solution

The fourth proportional to 23,213.75, 32,022.41 and 20,040.17 is: 27,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.75 : 32,022.41 = 20,040.17 : x
  2. Step 2: Convert to fraction form
    23,213.75/32,022.41 = 20,040.17/x
  3. Step 3: Cross multiply
    23,213.75x = 32,022.41 × 20,040.17
  4. Step 4: Simplify right side
    23,213.75x = 641,734,279.90
  5. Step 5: Solve for x
    x = 641,734,279.90/23,213.75
  6. Step 6: Final answer
    x = 27,644.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.