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Finding the Fourth Proportional to 17,199.80, 25,794.38 and 8,309.60

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Solution

The fourth proportional to 17,199.80, 25,794.38 and 8,309.60 is: 12,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,199.80 : 25,794.38 = 8,309.60 : x
  2. Step 2: Convert to fraction form
    17,199.80/25,794.38 = 8,309.60/x
  3. Step 3: Cross multiply
    17,199.80x = 25,794.38 × 8,309.60
  4. Step 4: Simplify right side
    17,199.80x = 214,340,980.05
  5. Step 5: Solve for x
    x = 214,340,980.05/17,199.80
  6. Step 6: Final answer
    x = 12,461.83

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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.