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Finding the Fourth Proportional to 22,333.78, 33,506.24 and 8,297.80

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Solution

The fourth proportional to 22,333.78, 33,506.24 and 8,297.80 is: 12,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.78 : 33,506.24 = 8,297.80 : x
  2. Step 2: Convert to fraction form
    22,333.78/33,506.24 = 8,297.80/x
  3. Step 3: Cross multiply
    22,333.78x = 33,506.24 × 8,297.80
  4. Step 4: Simplify right side
    22,333.78x = 278,028,078.27
  5. Step 5: Solve for x
    x = 278,028,078.27/22,333.78
  6. Step 6: Final answer
    x = 12,448.77

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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.