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Finding the Fourth Proportional to 12,149.48, 16,764.36 and 6,843.26

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Solution

The fourth proportional to 12,149.48, 16,764.36 and 6,843.26 is: 9,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.48 : 16,764.36 = 6,843.26 : x
  2. Step 2: Convert to fraction form
    12,149.48/16,764.36 = 6,843.26/x
  3. Step 3: Cross multiply
    12,149.48x = 16,764.36 × 6,843.26
  4. Step 4: Simplify right side
    12,149.48x = 114,722,874.21
  5. Step 5: Solve for x
    x = 114,722,874.21/12,149.48
  6. Step 6: Final answer
    x = 9,442.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.