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Finding the Fourth Proportional to 22,568.82, 33,858.65 and 6,986.44

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Solution

The fourth proportional to 22,568.82, 33,858.65 and 6,986.44 is: 10,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.82 : 33,858.65 = 6,986.44 : x
  2. Step 2: Convert to fraction form
    22,568.82/33,858.65 = 6,986.44/x
  3. Step 3: Cross multiply
    22,568.82x = 33,858.65 × 6,986.44
  4. Step 4: Simplify right side
    22,568.82x = 236,551,426.71
  5. Step 5: Solve for x
    x = 236,551,426.71/22,568.82
  6. Step 6: Final answer
    x = 10,481.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.