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Finding the Fourth Proportional to 13,744.64, 20,589.48 and 6,338.96

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Solution

The fourth proportional to 13,744.64, 20,589.48 and 6,338.96 is: 9,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.64 : 20,589.48 = 6,338.96 : x
  2. Step 2: Convert to fraction form
    13,744.64/20,589.48 = 6,338.96/x
  3. Step 3: Cross multiply
    13,744.64x = 20,589.48 × 6,338.96
  4. Step 4: Simplify right side
    13,744.64x = 130,515,890.14
  5. Step 5: Solve for x
    x = 130,515,890.14/13,744.64
  6. Step 6: Final answer
    x = 9,495.77

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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.