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Finding the Fourth Proportional to 17,206.07, 25,806.06 and 7,843.86

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Solution

The fourth proportional to 17,206.07, 25,806.06 and 7,843.86 is: 11,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.07 : 25,806.06 = 7,843.86 : x
  2. Step 2: Convert to fraction form
    17,206.07/25,806.06 = 7,843.86/x
  3. Step 3: Cross multiply
    17,206.07x = 25,806.06 × 7,843.86
  4. Step 4: Simplify right side
    17,206.07x = 202,419,121.79
  5. Step 5: Solve for x
    x = 202,419,121.79/17,206.07
  6. Step 6: Final answer
    x = 11,764.41

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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.