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Finding the Fourth Proportional to 12,256, 16,919.22 and 8,221.36

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Solution

The fourth proportional to 12,256, 16,919.22 and 8,221.36 is: 11,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256 : 16,919.22 = 8,221.36 : x
  2. Step 2: Convert to fraction form
    12,256/16,919.22 = 8,221.36/x
  3. Step 3: Cross multiply
    12,256x = 16,919.22 × 8,221.36
  4. Step 4: Simplify right side
    12,256x = 139,098,998.54
  5. Step 5: Solve for x
    x = 139,098,998.54/12,256
  6. Step 6: Final answer
    x = 11,349.46

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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.