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Finding the Fourth Proportional to 22,533.46, 33,798.97 and 6,738.46

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Solution

The fourth proportional to 22,533.46, 33,798.97 and 6,738.46 is: 10,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.46 : 33,798.97 = 6,738.46 : x
  2. Step 2: Convert to fraction form
    22,533.46/33,798.97 = 6,738.46/x
  3. Step 3: Cross multiply
    22,533.46x = 33,798.97 × 6,738.46
  4. Step 4: Simplify right side
    22,533.46x = 227,753,007.39
  5. Step 5: Solve for x
    x = 227,753,007.39/22,533.46
  6. Step 6: Final answer
    x = 10,107.33

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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.