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Finding the Fourth Proportional to 13,447.69, 20,174.77 and 4,213.69

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Solution

The fourth proportional to 13,447.69, 20,174.77 and 4,213.69 is: 6,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.69 : 20,174.77 = 4,213.69 : x
  2. Step 2: Convert to fraction form
    13,447.69/20,174.77 = 4,213.69/x
  3. Step 3: Cross multiply
    13,447.69x = 20,174.77 × 4,213.69
  4. Step 4: Simplify right side
    13,447.69x = 85,010,181.43
  5. Step 5: Solve for x
    x = 85,010,181.43/13,447.69
  6. Step 6: Final answer
    x = 6,321.55

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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.