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Finding the Fourth Proportional to 12,163, 18,231.14 and 4,766.08

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Solution

The fourth proportional to 12,163, 18,231.14 and 4,766.08 is: 7,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163 : 18,231.14 = 4,766.08 : x
  2. Step 2: Convert to fraction form
    12,163/18,231.14 = 4,766.08/x
  3. Step 3: Cross multiply
    12,163x = 18,231.14 × 4,766.08
  4. Step 4: Simplify right side
    12,163x = 86,891,071.73
  5. Step 5: Solve for x
    x = 86,891,071.73/12,163
  6. Step 6: Final answer
    x = 7,143.88

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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.