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Finding the Fourth Proportional to 13,889.57, 20,817.32 and 7,311.56

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Solution

The fourth proportional to 13,889.57, 20,817.32 and 7,311.56 is: 10,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.57 : 20,817.32 = 7,311.56 : x
  2. Step 2: Convert to fraction form
    13,889.57/20,817.32 = 7,311.56/x
  3. Step 3: Cross multiply
    13,889.57x = 20,817.32 × 7,311.56
  4. Step 4: Simplify right side
    13,889.57x = 152,206,943.57
  5. Step 5: Solve for x
    x = 152,206,943.57/13,889.57
  6. Step 6: Final answer
    x = 10,958.37

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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.