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Finding the Fourth Proportional to 16,474.80, 22,735.20 and 9,022.80

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Solution

The fourth proportional to 16,474.80, 22,735.20 and 9,022.80 is: 12,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.80 : 22,735.20 = 9,022.80 : x
  2. Step 2: Convert to fraction form
    16,474.80/22,735.20 = 9,022.80/x
  3. Step 3: Cross multiply
    16,474.80x = 22,735.20 × 9,022.80
  4. Step 4: Simplify right side
    16,474.80x = 205,135,162.56
  5. Step 5: Solve for x
    x = 205,135,162.56/16,474.80
  6. Step 6: Final answer
    x = 12,451.45

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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.