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Finding the Fourth Proportional to 22,619.76, 33,935.22 and 6,824.45

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Solution

The fourth proportional to 22,619.76, 33,935.22 and 6,824.45 is: 10,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.76 : 33,935.22 = 6,824.45 : x
  2. Step 2: Convert to fraction form
    22,619.76/33,935.22 = 6,824.45/x
  3. Step 3: Cross multiply
    22,619.76x = 33,935.22 × 6,824.45
  4. Step 4: Simplify right side
    22,619.76x = 231,589,296.97
  5. Step 5: Solve for x
    x = 231,589,296.97/22,619.76
  6. Step 6: Final answer
    x = 10,238.36

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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.