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Finding the Fourth Proportional to 22,517.76, 33,768.55 and 7,722.71

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Solution

The fourth proportional to 22,517.76, 33,768.55 and 7,722.71 is: 11,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.76 : 33,768.55 = 7,722.71 : x
  2. Step 2: Convert to fraction form
    22,517.76/33,768.55 = 7,722.71/x
  3. Step 3: Cross multiply
    22,517.76x = 33,768.55 × 7,722.71
  4. Step 4: Simplify right side
    22,517.76x = 260,784,642.77
  5. Step 5: Solve for x
    x = 260,784,642.77/22,517.76
  6. Step 6: Final answer
    x = 11,581.29

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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.