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Finding the Fourth Proportional to 22,320.74, 33,481.92 and 6,738.50

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Solution

The fourth proportional to 22,320.74, 33,481.92 and 6,738.50 is: 10,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320.74 : 33,481.92 = 6,738.50 : x
  2. Step 2: Convert to fraction form
    22,320.74/33,481.92 = 6,738.50/x
  3. Step 3: Cross multiply
    22,320.74x = 33,481.92 × 6,738.50
  4. Step 4: Simplify right side
    22,320.74x = 225,617,917.92
  5. Step 5: Solve for x
    x = 225,617,917.92/22,320.74
  6. Step 6: Final answer
    x = 10,107.99

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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.