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Finding the Fourth Proportional to 21,200.80, 31,801.20 and 10,832.80

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Solution

The fourth proportional to 21,200.80, 31,801.20 and 10,832.80 is: 16,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.80 : 31,801.20 = 10,832.80 : x
  2. Step 2: Convert to fraction form
    21,200.80/31,801.20 = 10,832.80/x
  3. Step 3: Cross multiply
    21,200.80x = 31,801.20 × 10,832.80
  4. Step 4: Simplify right side
    21,200.80x = 344,496,039.36
  5. Step 5: Solve for x
    x = 344,496,039.36/21,200.80
  6. Step 6: Final answer
    x = 16,249.20

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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.