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Finding the Fourth Proportional to 13,813.34, 20,736.10 and 6,799.14

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Solution

The fourth proportional to 13,813.34, 20,736.10 and 6,799.14 is: 10,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.34 : 20,736.10 = 6,799.14 : x
  2. Step 2: Convert to fraction form
    13,813.34/20,736.10 = 6,799.14/x
  3. Step 3: Cross multiply
    13,813.34x = 20,736.10 × 6,799.14
  4. Step 4: Simplify right side
    13,813.34x = 140,987,655.45
  5. Step 5: Solve for x
    x = 140,987,655.45/13,813.34
  6. Step 6: Final answer
    x = 10,206.63

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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.