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Finding the Fourth Proportional to 16,092.21, 22,206.92 and 8,824.20

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Solution

The fourth proportional to 16,092.21, 22,206.92 and 8,824.20 is: 12,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.21 : 22,206.92 = 8,824.20 : x
  2. Step 2: Convert to fraction form
    16,092.21/22,206.92 = 8,824.20/x
  3. Step 3: Cross multiply
    16,092.21x = 22,206.92 × 8,824.20
  4. Step 4: Simplify right side
    16,092.21x = 195,958,259.34
  5. Step 5: Solve for x
    x = 195,958,259.34/16,092.21
  6. Step 6: Final answer
    x = 12,177.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.