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Finding the Fourth Proportional to 12,057.10, 18,082.41 and 8,185.34

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Solution

The fourth proportional to 12,057.10, 18,082.41 and 8,185.34 is: 12,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.10 : 18,082.41 = 8,185.34 : x
  2. Step 2: Convert to fraction form
    12,057.10/18,082.41 = 8,185.34/x
  3. Step 3: Cross multiply
    12,057.10x = 18,082.41 × 8,185.34
  4. Step 4: Simplify right side
    12,057.10x = 148,010,673.87
  5. Step 5: Solve for x
    x = 148,010,673.87/12,057.10
  6. Step 6: Final answer
    x = 12,275.81

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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.