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Finding the Fourth Proportional to 13,691.97, 20,542.95 and 5,796.50

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Solution

The fourth proportional to 13,691.97, 20,542.95 and 5,796.50 is: 8,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.97 : 20,542.95 = 5,796.50 : x
  2. Step 2: Convert to fraction form
    13,691.97/20,542.95 = 5,796.50/x
  3. Step 3: Cross multiply
    13,691.97x = 20,542.95 × 5,796.50
  4. Step 4: Simplify right side
    13,691.97x = 119,077,106.96
  5. Step 5: Solve for x
    x = 119,077,106.96/13,691.97
  6. Step 6: Final answer
    x = 8,696.86

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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.