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Finding the Fourth Proportional to 12,163.40, 18,233.04 and 5,145.32

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Solution

The fourth proportional to 12,163.40, 18,233.04 and 5,145.32 is: 7,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.40 : 18,233.04 = 5,145.32 : x
  2. Step 2: Convert to fraction form
    12,163.40/18,233.04 = 5,145.32/x
  3. Step 3: Cross multiply
    12,163.40x = 18,233.04 × 5,145.32
  4. Step 4: Simplify right side
    12,163.40x = 93,814,825.37
  5. Step 5: Solve for x
    x = 93,814,825.37/12,163.40
  6. Step 6: Final answer
    x = 7,712.88

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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.