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Finding the Fourth Proportional to 17,314.22, 25,949.24 and 8,431.68

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Solution

The fourth proportional to 17,314.22, 25,949.24 and 8,431.68 is: 12,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.22 : 25,949.24 = 8,431.68 : x
  2. Step 2: Convert to fraction form
    17,314.22/25,949.24 = 8,431.68/x
  3. Step 3: Cross multiply
    17,314.22x = 25,949.24 × 8,431.68
  4. Step 4: Simplify right side
    17,314.22x = 218,795,687.92
  5. Step 5: Solve for x
    x = 218,795,687.92/17,314.22
  6. Step 6: Final answer
    x = 12,636.76

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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.