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Finding the Fourth Proportional to 22,266.72, 33,377.04 and 8,406

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Solution

The fourth proportional to 22,266.72, 33,377.04 and 8,406 is: 12,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266.72 : 33,377.04 = 8,406 : x
  2. Step 2: Convert to fraction form
    22,266.72/33,377.04 = 8,406/x
  3. Step 3: Cross multiply
    22,266.72x = 33,377.04 × 8,406
  4. Step 4: Simplify right side
    22,266.72x = 280,567,398.24
  5. Step 5: Solve for x
    x = 280,567,398.24/22,266.72
  6. Step 6: Final answer
    x = 12,600.30

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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.