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Finding the Fourth Proportional to 13,163.86, 18,163.20 and 7,574.86

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Solution

The fourth proportional to 13,163.86, 18,163.20 and 7,574.86 is: 10,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.86 : 18,163.20 = 7,574.86 : x
  2. Step 2: Convert to fraction form
    13,163.86/18,163.20 = 7,574.86/x
  3. Step 3: Cross multiply
    13,163.86x = 18,163.20 × 7,574.86
  4. Step 4: Simplify right side
    13,163.86x = 137,583,697.15
  5. Step 5: Solve for x
    x = 137,583,697.15/13,163.86
  6. Step 6: Final answer
    x = 10,451.62

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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.