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Finding the Fourth Proportional to 13,691.69, 20,532.06 and 5,797.83

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Solution

The fourth proportional to 13,691.69, 20,532.06 and 5,797.83 is: 8,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.69 : 20,532.06 = 5,797.83 : x
  2. Step 2: Convert to fraction form
    13,691.69/20,532.06 = 5,797.83/x
  3. Step 3: Cross multiply
    13,691.69x = 20,532.06 × 5,797.83
  4. Step 4: Simplify right side
    13,691.69x = 119,041,393.43
  5. Step 5: Solve for x
    x = 119,041,393.43/13,691.69
  6. Step 6: Final answer
    x = 8,694.43

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