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Finding the Fourth Proportional to 16,282.80, 22,469.04 and 10,984.80

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Solution

The fourth proportional to 16,282.80, 22,469.04 and 10,984.80 is: 15,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.80 : 22,469.04 = 10,984.80 : x
  2. Step 2: Convert to fraction form
    16,282.80/22,469.04 = 10,984.80/x
  3. Step 3: Cross multiply
    16,282.80x = 22,469.04 × 10,984.80
  4. Step 4: Simplify right side
    16,282.80x = 246,817,910.59
  5. Step 5: Solve for x
    x = 246,817,910.59/16,282.80
  6. Step 6: Final answer
    x = 15,158.20

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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.