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Finding the Fourth Proportional to 13,589.66, 20,383.57 and 3,728.11

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Solution

The fourth proportional to 13,589.66, 20,383.57 and 3,728.11 is: 5,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.66 : 20,383.57 = 3,728.11 : x
  2. Step 2: Convert to fraction form
    13,589.66/20,383.57 = 3,728.11/x
  3. Step 3: Cross multiply
    13,589.66x = 20,383.57 × 3,728.11
  4. Step 4: Simplify right side
    13,589.66x = 75,992,193.56
  5. Step 5: Solve for x
    x = 75,992,193.56/13,589.66
  6. Step 6: Final answer
    x = 5,591.91

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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.