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Finding the Fourth Proportional to 22,564.82, 33,852.63 and 6,982.44

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Solution

The fourth proportional to 22,564.82, 33,852.63 and 6,982.44 is: 10,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.82 : 33,852.63 = 6,982.44 : x
  2. Step 2: Convert to fraction form
    22,564.82/33,852.63 = 6,982.44/x
  3. Step 3: Cross multiply
    22,564.82x = 33,852.63 × 6,982.44
  4. Step 4: Simplify right side
    22,564.82x = 236,373,957.82
  5. Step 5: Solve for x
    x = 236,373,957.82/22,564.82
  6. Step 6: Final answer
    x = 10,475.33

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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.