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Finding the Fourth Proportional to 13,589.36, 20,384.06 and 3,728.24

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Solution

The fourth proportional to 13,589.36, 20,384.06 and 3,728.24 is: 5,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.36 : 20,384.06 = 3,728.24 : x
  2. Step 2: Convert to fraction form
    13,589.36/20,384.06 = 3,728.24/x
  3. Step 3: Cross multiply
    13,589.36x = 20,384.06 × 3,728.24
  4. Step 4: Simplify right side
    13,589.36x = 75,996,667.85
  5. Step 5: Solve for x
    x = 75,996,667.85/13,589.36
  6. Step 6: Final answer
    x = 5,592.37

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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.