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Finding the Fourth Proportional to 17,626.50, 26,431.97 and 8,258.97

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Solution

The fourth proportional to 17,626.50, 26,431.97 and 8,258.97 is: 12,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626.50 : 26,431.97 = 8,258.97 : x
  2. Step 2: Convert to fraction form
    17,626.50/26,431.97 = 8,258.97/x
  3. Step 3: Cross multiply
    17,626.50x = 26,431.97 × 8,258.97
  4. Step 4: Simplify right side
    17,626.50x = 218,300,847.27
  5. Step 5: Solve for x
    x = 218,300,847.27/17,626.50
  6. Step 6: Final answer
    x = 12,384.81

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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.