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Finding the Fourth Proportional to 13,163.42, 18,147.76 and 8,439.50

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Solution

The fourth proportional to 13,163.42, 18,147.76 and 8,439.50 is: 11,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.42 : 18,147.76 = 8,439.50 : x
  2. Step 2: Convert to fraction form
    13,163.42/18,147.76 = 8,439.50/x
  3. Step 3: Cross multiply
    13,163.42x = 18,147.76 × 8,439.50
  4. Step 4: Simplify right side
    13,163.42x = 153,157,908.68
  5. Step 5: Solve for x
    x = 153,157,908.68/13,163.42
  6. Step 6: Final answer
    x = 11,635.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.