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Finding the Fourth Proportional to 16,105.36, 22,230.86 and 10,147

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Solution

The fourth proportional to 16,105.36, 22,230.86 and 10,147 is: 14,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.36 : 22,230.86 = 10,147 : x
  2. Step 2: Convert to fraction form
    16,105.36/22,230.86 = 10,147/x
  3. Step 3: Cross multiply
    16,105.36x = 22,230.86 × 10,147
  4. Step 4: Simplify right side
    16,105.36x = 225,576,536.42
  5. Step 5: Solve for x
    x = 225,576,536.42/16,105.36
  6. Step 6: Final answer
    x = 14,006.30

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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.