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Finding the Fourth Proportional to 13,814.73, 20,722.14 and 5,494.23

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Solution

The fourth proportional to 13,814.73, 20,722.14 and 5,494.23 is: 8,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.73 : 20,722.14 = 5,494.23 : x
  2. Step 2: Convert to fraction form
    13,814.73/20,722.14 = 5,494.23/x
  3. Step 3: Cross multiply
    13,814.73x = 20,722.14 × 5,494.23
  4. Step 4: Simplify right side
    13,814.73x = 113,852,203.25
  5. Step 5: Solve for x
    x = 113,852,203.25/13,814.73
  6. Step 6: Final answer
    x = 8,241.36

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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.