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Finding the Fourth Proportional to 12,181.53, 18,270.75 and 3,861.63

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Solution

The fourth proportional to 12,181.53, 18,270.75 and 3,861.63 is: 5,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.53 : 18,270.75 = 3,861.63 : x
  2. Step 2: Convert to fraction form
    12,181.53/18,270.75 = 3,861.63/x
  3. Step 3: Cross multiply
    12,181.53x = 18,270.75 × 3,861.63
  4. Step 4: Simplify right side
    12,181.53x = 70,554,808.29
  5. Step 5: Solve for x
    x = 70,554,808.29/12,181.53
  6. Step 6: Final answer
    x = 5,791.95

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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.