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Finding the Fourth Proportional to 17,706.75, 26,524.51 and 8,205.76

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Solution

The fourth proportional to 17,706.75, 26,524.51 and 8,205.76 is: 12,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.75 : 26,524.51 = 8,205.76 : x
  2. Step 2: Convert to fraction form
    17,706.75/26,524.51 = 8,205.76/x
  3. Step 3: Cross multiply
    17,706.75x = 26,524.51 × 8,205.76
  4. Step 4: Simplify right side
    17,706.75x = 217,653,763.18
  5. Step 5: Solve for x
    x = 217,653,763.18/17,706.75
  6. Step 6: Final answer
    x = 12,292.14

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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.