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Finding the Fourth Proportional to 13,814.33, 20,723.70 and 5,494.41

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Solution

The fourth proportional to 13,814.33, 20,723.70 and 5,494.41 is: 8,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.33 : 20,723.70 = 5,494.41 : x
  2. Step 2: Convert to fraction form
    13,814.33/20,723.70 = 5,494.41/x
  3. Step 3: Cross multiply
    13,814.33x = 20,723.70 × 5,494.41
  4. Step 4: Simplify right side
    13,814.33x = 113,864,504.52
  5. Step 5: Solve for x
    x = 113,864,504.52/13,814.33
  6. Step 6: Final answer
    x = 8,242.49

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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.