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Finding the Fourth Proportional to 17,099.94, 25,632.84 and 8,198.84

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Solution

The fourth proportional to 17,099.94, 25,632.84 and 8,198.84 is: 12,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.94 : 25,632.84 = 8,198.84 : x
  2. Step 2: Convert to fraction form
    17,099.94/25,632.84 = 8,198.84/x
  3. Step 3: Cross multiply
    17,099.94x = 25,632.84 × 8,198.84
  4. Step 4: Simplify right side
    17,099.94x = 210,159,553.91
  5. Step 5: Solve for x
    x = 210,159,553.91/17,099.94
  6. Step 6: Final answer
    x = 12,290.08

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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.