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Finding the Fourth Proportional to 22,012.80, 33,019.20 and 8,167.20

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Solution

The fourth proportional to 22,012.80, 33,019.20 and 8,167.20 is: 12,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012.80 : 33,019.20 = 8,167.20 : x
  2. Step 2: Convert to fraction form
    22,012.80/33,019.20 = 8,167.20/x
  3. Step 3: Cross multiply
    22,012.80x = 33,019.20 × 8,167.20
  4. Step 4: Simplify right side
    22,012.80x = 269,674,410.24
  5. Step 5: Solve for x
    x = 269,674,410.24/22,012.80
  6. Step 6: Final answer
    x = 12,250.80

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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.