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Finding the Fourth Proportional to 13,422.85, 20,142.19 and 5,109.86

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Solution

The fourth proportional to 13,422.85, 20,142.19 and 5,109.86 is: 7,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.85 : 20,142.19 = 5,109.86 : x
  2. Step 2: Convert to fraction form
    13,422.85/20,142.19 = 5,109.86/x
  3. Step 3: Cross multiply
    13,422.85x = 20,142.19 × 5,109.86
  4. Step 4: Simplify right side
    13,422.85x = 102,923,770.99
  5. Step 5: Solve for x
    x = 102,923,770.99/13,422.85
  6. Step 6: Final answer
    x = 7,667.80

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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.