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Finding the Fourth Proportional to 11,633.48, 16,046.99 and 10,144.97

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Solution

The fourth proportional to 11,633.48, 16,046.99 and 10,144.97 is: 13,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.48 : 16,046.99 = 10,144.97 : x
  2. Step 2: Convert to fraction form
    11,633.48/16,046.99 = 10,144.97/x
  3. Step 3: Cross multiply
    11,633.48x = 16,046.99 × 10,144.97
  4. Step 4: Simplify right side
    11,633.48x = 162,796,151.91
  5. Step 5: Solve for x
    x = 162,796,151.91/11,633.48
  6. Step 6: Final answer
    x = 13,993.77

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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.