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Finding the Fourth Proportional to 19,879.59, 27,428.31 and 13,163.07

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Solution

The fourth proportional to 19,879.59, 27,428.31 and 13,163.07 is: 18,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.59 : 27,428.31 = 13,163.07 : x
  2. Step 2: Convert to fraction form
    19,879.59/27,428.31 = 13,163.07/x
  3. Step 3: Cross multiply
    19,879.59x = 27,428.31 × 13,163.07
  4. Step 4: Simplify right side
    19,879.59x = 361,040,764.51
  5. Step 5: Solve for x
    x = 361,040,764.51/19,879.59
  6. Step 6: Final answer
    x = 18,161.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.