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Finding the Fourth Proportional to 13,589.70, 20,367.82 and 6,477.68

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Solution

The fourth proportional to 13,589.70, 20,367.82 and 6,477.68 is: 9,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.70 : 20,367.82 = 6,477.68 : x
  2. Step 2: Convert to fraction form
    13,589.70/20,367.82 = 6,477.68/x
  3. Step 3: Cross multiply
    13,589.70x = 20,367.82 × 6,477.68
  4. Step 4: Simplify right side
    13,589.70x = 131,936,221.99
  5. Step 5: Solve for x
    x = 131,936,221.99/13,589.70
  6. Step 6: Final answer
    x = 9,708.54

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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.