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Finding the Fourth Proportional to 22,517.67, 33,768.41 and 7,722.75

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Solution

The fourth proportional to 22,517.67, 33,768.41 and 7,722.75 is: 11,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.67 : 33,768.41 = 7,722.75 : x
  2. Step 2: Convert to fraction form
    22,517.67/33,768.41 = 7,722.75/x
  3. Step 3: Cross multiply
    22,517.67x = 33,768.41 × 7,722.75
  4. Step 4: Simplify right side
    22,517.67x = 260,784,949.71
  5. Step 5: Solve for x
    x = 260,784,949.71/22,517.67
  6. Step 6: Final answer
    x = 11,581.35

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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.