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Finding the Fourth Proportional to 12,486.31, 18,730.78 and 4,163.42

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Solution

The fourth proportional to 12,486.31, 18,730.78 and 4,163.42 is: 6,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.31 : 18,730.78 = 4,163.42 : x
  2. Step 2: Convert to fraction form
    12,486.31/18,730.78 = 4,163.42/x
  3. Step 3: Cross multiply
    12,486.31x = 18,730.78 × 4,163.42
  4. Step 4: Simplify right side
    12,486.31x = 77,984,140.49
  5. Step 5: Solve for x
    x = 77,984,140.49/12,486.31
  6. Step 6: Final answer
    x = 6,245.57

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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.