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Finding the Fourth Proportional to 17,859.47, 26,789.85 and 6,766.98

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Solution

The fourth proportional to 17,859.47, 26,789.85 and 6,766.98 is: 10,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.47 : 26,789.85 = 6,766.98 : x
  2. Step 2: Convert to fraction form
    17,859.47/26,789.85 = 6,766.98/x
  3. Step 3: Cross multiply
    17,859.47x = 26,789.85 × 6,766.98
  4. Step 4: Simplify right side
    17,859.47x = 181,286,379.15
  5. Step 5: Solve for x
    x = 181,286,379.15/17,859.47
  6. Step 6: Final answer
    x = 10,150.72

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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.