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Finding the Fourth Proportional to 16,505.80, 24,761.90 and 8,297.80

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Solution

The fourth proportional to 16,505.80, 24,761.90 and 8,297.80 is: 12,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.80 : 24,761.90 = 8,297.80 : x
  2. Step 2: Convert to fraction form
    16,505.80/24,761.90 = 8,297.80/x
  3. Step 3: Cross multiply
    16,505.80x = 24,761.90 × 8,297.80
  4. Step 4: Simplify right side
    16,505.80x = 205,469,293.82
  5. Step 5: Solve for x
    x = 205,469,293.82/16,505.80
  6. Step 6: Final answer
    x = 12,448.31

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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.