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Finding the Fourth Proportional to 21,348.80, 32,011.20 and 8,201.60

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Solution

The fourth proportional to 21,348.80, 32,011.20 and 8,201.60 is: 12,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348.80 : 32,011.20 = 8,201.60 : x
  2. Step 2: Convert to fraction form
    21,348.80/32,011.20 = 8,201.60/x
  3. Step 3: Cross multiply
    21,348.80x = 32,011.20 × 8,201.60
  4. Step 4: Simplify right side
    21,348.80x = 262,543,057.92
  5. Step 5: Solve for x
    x = 262,543,057.92/21,348.80
  6. Step 6: Final answer
    x = 12,297.79

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1.5x scale

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.