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Finding the Fourth Proportional to 12,116.73, 18,182.13 and 5,096.22

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Solution

The fourth proportional to 12,116.73, 18,182.13 and 5,096.22 is: 7,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.73 : 18,182.13 = 5,096.22 : x
  2. Step 2: Convert to fraction form
    12,116.73/18,182.13 = 5,096.22/x
  3. Step 3: Cross multiply
    12,116.73x = 18,182.13 × 5,096.22
  4. Step 4: Simplify right side
    12,116.73x = 92,660,134.55
  5. Step 5: Solve for x
    x = 92,660,134.55/12,116.73
  6. Step 6: Final answer
    x = 7,647.29

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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.