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Finding the Fourth Proportional to 22,147.44, 33,221.28 and 6,354.30

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Solution

The fourth proportional to 22,147.44, 33,221.28 and 6,354.30 is: 9,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.44 : 33,221.28 = 6,354.30 : x
  2. Step 2: Convert to fraction form
    22,147.44/33,221.28 = 6,354.30/x
  3. Step 3: Cross multiply
    22,147.44x = 33,221.28 × 6,354.30
  4. Step 4: Simplify right side
    22,147.44x = 211,097,979.50
  5. Step 5: Solve for x
    x = 211,097,979.50/22,147.44
  6. Step 6: Final answer
    x = 9,531.48

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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.