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Finding the Fourth Proportional to 13,794.14, 20,701.61 and 10,105.82

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Solution

The fourth proportional to 13,794.14, 20,701.61 and 10,105.82 is: 15,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.14 : 20,701.61 = 10,105.82 : x
  2. Step 2: Convert to fraction form
    13,794.14/20,701.61 = 10,105.82/x
  3. Step 3: Cross multiply
    13,794.14x = 20,701.61 × 10,105.82
  4. Step 4: Simplify right side
    13,794.14x = 209,206,744.37
  5. Step 5: Solve for x
    x = 209,206,744.37/13,794.14
  6. Step 6: Final answer
    x = 15,166.35

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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.