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Finding the Fourth Proportional to 12,221.37, 16,865.36 and 6,843.86

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Solution

The fourth proportional to 12,221.37, 16,865.36 and 6,843.86 is: 9,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.37 : 16,865.36 = 6,843.86 : x
  2. Step 2: Convert to fraction form
    12,221.37/16,865.36 = 6,843.86/x
  3. Step 3: Cross multiply
    12,221.37x = 16,865.36 × 6,843.86
  4. Step 4: Simplify right side
    12,221.37x = 115,424,044.14
  5. Step 5: Solve for x
    x = 115,424,044.14/12,221.37
  6. Step 6: Final answer
    x = 9,444.44

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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.