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Finding the Fourth Proportional to 13,806.36, 20,694.65 and 6,778.20

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Solution

The fourth proportional to 13,806.36, 20,694.65 and 6,778.20 is: 10,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.36 : 20,694.65 = 6,778.20 : x
  2. Step 2: Convert to fraction form
    13,806.36/20,694.65 = 6,778.20/x
  3. Step 3: Cross multiply
    13,806.36x = 20,694.65 × 6,778.20
  4. Step 4: Simplify right side
    13,806.36x = 140,272,442.74
  5. Step 5: Solve for x
    x = 140,272,442.74/13,806.36
  6. Step 6: Final answer
    x = 10,159.99

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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.