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Finding the Fourth Proportional to 17,846.43, 26,769.92 and 6,758.34

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Solution

The fourth proportional to 17,846.43, 26,769.92 and 6,758.34 is: 10,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.43 : 26,769.92 = 6,758.34 : x
  2. Step 2: Convert to fraction form
    17,846.43/26,769.92 = 6,758.34/x
  3. Step 3: Cross multiply
    17,846.43x = 26,769.92 × 6,758.34
  4. Step 4: Simplify right side
    17,846.43x = 180,920,187.34
  5. Step 5: Solve for x
    x = 180,920,187.34/17,846.43
  6. Step 6: Final answer
    x = 10,137.61

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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.