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Finding the Fourth Proportional to 13,794.15, 20,694.87 and 7,218.57

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Solution

The fourth proportional to 13,794.15, 20,694.87 and 7,218.57 is: 10,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.15 : 20,694.87 = 7,218.57 : x
  2. Step 2: Convert to fraction form
    13,794.15/20,694.87 = 7,218.57/x
  3. Step 3: Cross multiply
    13,794.15x = 20,694.87 × 7,218.57
  4. Step 4: Simplify right side
    13,794.15x = 149,387,367.74
  5. Step 5: Solve for x
    x = 149,387,367.74/13,794.15
  6. Step 6: Final answer
    x = 10,829.76

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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.