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Finding the Fourth Proportional to 22,568.82, 33,855.57 and 7,775.94

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Solution

The fourth proportional to 22,568.82, 33,855.57 and 7,775.94 is: 11,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.82 : 33,855.57 = 7,775.94 : x
  2. Step 2: Convert to fraction form
    22,568.82/33,855.57 = 7,775.94/x
  3. Step 3: Cross multiply
    22,568.82x = 33,855.57 × 7,775.94
  4. Step 4: Simplify right side
    22,568.82x = 263,258,880.99
  5. Step 5: Solve for x
    x = 263,258,880.99/22,568.82
  6. Step 6: Final answer
    x = 11,664.72

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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.