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Finding the Fourth Proportional to 16,843.22, 25,270.29 and 8,078.81

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Solution

The fourth proportional to 16,843.22, 25,270.29 and 8,078.81 is: 12,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.22 : 25,270.29 = 8,078.81 : x
  2. Step 2: Convert to fraction form
    16,843.22/25,270.29 = 8,078.81/x
  3. Step 3: Cross multiply
    16,843.22x = 25,270.29 × 8,078.81
  4. Step 4: Simplify right side
    16,843.22x = 204,153,934.73
  5. Step 5: Solve for x
    x = 204,153,934.73/16,843.22
  6. Step 6: Final answer
    x = 12,120.84

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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.