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Finding the Fourth Proportional to 17,879.60, 26,823.29 and 6,786.41

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Solution

The fourth proportional to 17,879.60, 26,823.29 and 6,786.41 is: 10,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879.60 : 26,823.29 = 6,786.41 : x
  2. Step 2: Convert to fraction form
    17,879.60/26,823.29 = 6,786.41/x
  3. Step 3: Cross multiply
    17,879.60x = 26,823.29 × 6,786.41
  4. Step 4: Simplify right side
    17,879.60x = 182,033,675.44
  5. Step 5: Solve for x
    x = 182,033,675.44/17,879.60
  6. Step 6: Final answer
    x = 10,181.08

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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.