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Finding the Fourth Proportional to 22,533.37, 33,799.68 and 6,738.44

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Solution

The fourth proportional to 22,533.37, 33,799.68 and 6,738.44 is: 10,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.37 : 33,799.68 = 6,738.44 : x
  2. Step 2: Convert to fraction form
    22,533.37/33,799.68 = 6,738.44/x
  3. Step 3: Cross multiply
    22,533.37x = 33,799.68 × 6,738.44
  4. Step 4: Simplify right side
    22,533.37x = 227,756,946.70
  5. Step 5: Solve for x
    x = 227,756,946.70/22,533.37
  6. Step 6: Final answer
    x = 10,107.54

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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.