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Finding the Fourth Proportional to 13,791.94, 20,673.51 and 5,998.66

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Solution

The fourth proportional to 13,791.94, 20,673.51 and 5,998.66 is: 8,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.94 : 20,673.51 = 5,998.66 : x
  2. Step 2: Convert to fraction form
    13,791.94/20,673.51 = 5,998.66/x
  3. Step 3: Cross multiply
    13,791.94x = 20,673.51 × 5,998.66
  4. Step 4: Simplify right side
    13,791.94x = 124,013,357.50
  5. Step 5: Solve for x
    x = 124,013,357.50/13,791.94
  6. Step 6: Final answer
    x = 8,991.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.