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Finding the Fourth Proportional to 13,462.71, 20,197.26 and 4,228.71

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Solution

The fourth proportional to 13,462.71, 20,197.26 and 4,228.71 is: 6,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.71 : 20,197.26 = 4,228.71 : x
  2. Step 2: Convert to fraction form
    13,462.71/20,197.26 = 4,228.71/x
  3. Step 3: Cross multiply
    13,462.71x = 20,197.26 × 4,228.71
  4. Step 4: Simplify right side
    13,462.71x = 85,408,355.33
  5. Step 5: Solve for x
    x = 85,408,355.33/13,462.71
  6. Step 6: Final answer
    x = 6,344.07

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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.