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Finding the Fourth Proportional to 13,433.70, 20,150.22 and 6,418.68

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Solution

The fourth proportional to 13,433.70, 20,150.22 and 6,418.68 is: 9,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.70 : 20,150.22 = 6,418.68 : x
  2. Step 2: Convert to fraction form
    13,433.70/20,150.22 = 6,418.68/x
  3. Step 3: Cross multiply
    13,433.70x = 20,150.22 × 6,418.68
  4. Step 4: Simplify right side
    13,433.70x = 129,337,814.11
  5. Step 5: Solve for x
    x = 129,337,814.11/13,433.70
  6. Step 6: Final answer
    x = 9,627.86

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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.