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Finding the Fourth Proportional to 12,163.24, 18,232.14 and 6,891.64

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Solution

The fourth proportional to 12,163.24, 18,232.14 and 6,891.64 is: 10,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.24 : 18,232.14 = 6,891.64 : x
  2. Step 2: Convert to fraction form
    12,163.24/18,232.14 = 6,891.64/x
  3. Step 3: Cross multiply
    12,163.24x = 18,232.14 × 6,891.64
  4. Step 4: Simplify right side
    12,163.24x = 125,649,345.31
  5. Step 5: Solve for x
    x = 125,649,345.31/12,163.24
  6. Step 6: Final answer
    x = 10,330.25

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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.