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Finding the Fourth Proportional to 14,105.91, 19,467.08 and 8,137.83

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Solution

The fourth proportional to 14,105.91, 19,467.08 and 8,137.83 is: 11,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.91 : 19,467.08 = 8,137.83 : x
  2. Step 2: Convert to fraction form
    14,105.91/19,467.08 = 8,137.83/x
  3. Step 3: Cross multiply
    14,105.91x = 19,467.08 × 8,137.83
  4. Step 4: Simplify right side
    14,105.91x = 158,419,896.24
  5. Step 5: Solve for x
    x = 158,419,896.24/14,105.91
  6. Step 6: Final answer
    x = 11,230.74

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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.