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Finding the Fourth Proportional to 18,617.40, 27,931.05 and 8,082.90

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Solution

The fourth proportional to 18,617.40, 27,931.05 and 8,082.90 is: 12,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617.40 : 27,931.05 = 8,082.90 : x
  2. Step 2: Convert to fraction form
    18,617.40/27,931.05 = 8,082.90/x
  3. Step 3: Cross multiply
    18,617.40x = 27,931.05 × 8,082.90
  4. Step 4: Simplify right side
    18,617.40x = 225,763,884.05
  5. Step 5: Solve for x
    x = 225,763,884.05/18,617.40
  6. Step 6: Final answer
    x = 12,126.50

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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.