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Finding the Fourth Proportional to 14,491.26, 19,997.91 and 8,204.22

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Solution

The fourth proportional to 14,491.26, 19,997.91 and 8,204.22 is: 11,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.26 : 19,997.91 = 8,204.22 : x
  2. Step 2: Convert to fraction form
    14,491.26/19,997.91 = 8,204.22/x
  3. Step 3: Cross multiply
    14,491.26x = 19,997.91 × 8,204.22
  4. Step 4: Simplify right side
    14,491.26x = 164,067,253.18
  5. Step 5: Solve for x
    x = 164,067,253.18/14,491.26
  6. Step 6: Final answer
    x = 11,321.81

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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.