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Finding the Fourth Proportional to 17,791.97, 26,689.19 and 6,102.05

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Solution

The fourth proportional to 17,791.97, 26,689.19 and 6,102.05 is: 9,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.97 : 26,689.19 = 6,102.05 : x
  2. Step 2: Convert to fraction form
    17,791.97/26,689.19 = 6,102.05/x
  3. Step 3: Cross multiply
    17,791.97x = 26,689.19 × 6,102.05
  4. Step 4: Simplify right side
    17,791.97x = 162,858,607.88
  5. Step 5: Solve for x
    x = 162,858,607.88/17,791.97
  6. Step 6: Final answer
    x = 9,153.49

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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.