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Finding the Fourth Proportional to 17,863.70, 26,780.43 and 6,764.27

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Solution

The fourth proportional to 17,863.70, 26,780.43 and 6,764.27 is: 10,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.70 : 26,780.43 = 6,764.27 : x
  2. Step 2: Convert to fraction form
    17,863.70/26,780.43 = 6,764.27/x
  3. Step 3: Cross multiply
    17,863.70x = 26,780.43 × 6,764.27
  4. Step 4: Simplify right side
    17,863.70x = 181,150,059.24
  5. Step 5: Solve for x
    x = 181,150,059.24/17,863.70
  6. Step 6: Final answer
    x = 10,140.68

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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.