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Finding the Fourth Proportional to 16,282.38, 22,469.70 and 8,830.38

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Solution

The fourth proportional to 16,282.38, 22,469.70 and 8,830.38 is: 12,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.38 : 22,469.70 = 8,830.38 : x
  2. Step 2: Convert to fraction form
    16,282.38/22,469.70 = 8,830.38/x
  3. Step 3: Cross multiply
    16,282.38x = 22,469.70 × 8,830.38
  4. Step 4: Simplify right side
    16,282.38x = 198,415,989.49
  5. Step 5: Solve for x
    x = 198,415,989.49/16,282.38
  6. Step 6: Final answer
    x = 12,185.93

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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.