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Finding the Fourth Proportional to 16,489.80, 22,757.22 and 10,204.20

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Solution

The fourth proportional to 16,489.80, 22,757.22 and 10,204.20 is: 14,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.80 : 22,757.22 = 10,204.20 : x
  2. Step 2: Convert to fraction form
    16,489.80/22,757.22 = 10,204.20/x
  3. Step 3: Cross multiply
    16,489.80x = 22,757.22 × 10,204.20
  4. Step 4: Simplify right side
    16,489.80x = 232,219,224.32
  5. Step 5: Solve for x
    x = 232,219,224.32/16,489.80
  6. Step 6: Final answer
    x = 14,082.60

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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.