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Finding the Fourth Proportional to 12,082.11, 18,119.87 and 3,314.94

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Solution

The fourth proportional to 12,082.11, 18,119.87 and 3,314.94 is: 4,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.11 : 18,119.87 = 3,314.94 : x
  2. Step 2: Convert to fraction form
    12,082.11/18,119.87 = 3,314.94/x
  3. Step 3: Cross multiply
    12,082.11x = 18,119.87 × 3,314.94
  4. Step 4: Simplify right side
    12,082.11x = 60,066,265.28
  5. Step 5: Solve for x
    x = 60,066,265.28/12,082.11
  6. Step 6: Final answer
    x = 4,971.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.