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Finding the Fourth Proportional to 13,694.73, 20,542.10 and 3,835.47

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Solution

The fourth proportional to 13,694.73, 20,542.10 and 3,835.47 is: 5,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.73 : 20,542.10 = 3,835.47 : x
  2. Step 2: Convert to fraction form
    13,694.73/20,542.10 = 3,835.47/x
  3. Step 3: Cross multiply
    13,694.73x = 20,542.10 × 3,835.47
  4. Step 4: Simplify right side
    13,694.73x = 78,788,589.11
  5. Step 5: Solve for x
    x = 78,788,589.11/13,694.73
  6. Step 6: Final answer
    x = 5,753.21

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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.