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Finding the Fourth Proportional to 22,628.64, 33,933.87 and 6,828.78

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Solution

The fourth proportional to 22,628.64, 33,933.87 and 6,828.78 is: 10,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.64 : 33,933.87 = 6,828.78 : x
  2. Step 2: Convert to fraction form
    22,628.64/33,933.87 = 6,828.78/x
  3. Step 3: Cross multiply
    22,628.64x = 33,933.87 × 6,828.78
  4. Step 4: Simplify right side
    22,628.64x = 231,726,932.78
  5. Step 5: Solve for x
    x = 231,726,932.78/22,628.64
  6. Step 6: Final answer
    x = 10,240.43

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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.