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Finding the Fourth Proportional to 22,323.57, 33,484.26 and 8,286.33

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Solution

The fourth proportional to 22,323.57, 33,484.26 and 8,286.33 is: 12,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.57 : 33,484.26 = 8,286.33 : x
  2. Step 2: Convert to fraction form
    22,323.57/33,484.26 = 8,286.33/x
  3. Step 3: Cross multiply
    22,323.57x = 33,484.26 × 8,286.33
  4. Step 4: Simplify right side
    22,323.57x = 277,461,628.17
  5. Step 5: Solve for x
    x = 277,461,628.17/22,323.57
  6. Step 6: Final answer
    x = 12,429.09

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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.