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Finding the Fourth Proportional to 13,812.36, 20,713.98 and 5,494.44

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Solution

The fourth proportional to 13,812.36, 20,713.98 and 5,494.44 is: 8,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.36 : 20,713.98 = 5,494.44 : x
  2. Step 2: Convert to fraction form
    13,812.36/20,713.98 = 5,494.44/x
  3. Step 3: Cross multiply
    13,812.36x = 20,713.98 × 5,494.44
  4. Step 4: Simplify right side
    13,812.36x = 113,811,720.27
  5. Step 5: Solve for x
    x = 113,811,720.27/13,812.36
  6. Step 6: Final answer
    x = 8,239.85

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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.