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Finding the Fourth Proportional to 13,414.33, 20,092.33 and 6,474.25

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Solution

The fourth proportional to 13,414.33, 20,092.33 and 6,474.25 is: 9,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.33 : 20,092.33 = 6,474.25 : x
  2. Step 2: Convert to fraction form
    13,414.33/20,092.33 = 6,474.25/x
  3. Step 3: Cross multiply
    13,414.33x = 20,092.33 × 6,474.25
  4. Step 4: Simplify right side
    13,414.33x = 130,082,767.50
  5. Step 5: Solve for x
    x = 130,082,767.50/13,414.33
  6. Step 6: Final answer
    x = 9,697.30

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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.