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Finding the Fourth Proportional to 13,103.28, 18,082.17 and 7,135.20

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Solution

The fourth proportional to 13,103.28, 18,082.17 and 7,135.20 is: 9,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.28 : 18,082.17 = 7,135.20 : x
  2. Step 2: Convert to fraction form
    13,103.28/18,082.17 = 7,135.20/x
  3. Step 3: Cross multiply
    13,103.28x = 18,082.17 × 7,135.20
  4. Step 4: Simplify right side
    13,103.28x = 129,019,899.38
  5. Step 5: Solve for x
    x = 129,019,899.38/13,103.28
  6. Step 6: Final answer
    x = 9,846.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.