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Finding the Fourth Proportional to 17,949.42, 26,924.13 and 8,077.16

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Solution

The fourth proportional to 17,949.42, 26,924.13 and 8,077.16 is: 12,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,949.42 : 26,924.13 = 8,077.16 : x
  2. Step 2: Convert to fraction form
    17,949.42/26,924.13 = 8,077.16/x
  3. Step 3: Cross multiply
    17,949.42x = 26,924.13 × 8,077.16
  4. Step 4: Simplify right side
    17,949.42x = 217,470,485.68
  5. Step 5: Solve for x
    x = 217,470,485.68/17,949.42
  6. Step 6: Final answer
    x = 12,115.74

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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.