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Finding the Fourth Proportional to 12,474.25, 17,213.84 and 6,809.24

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Solution

The fourth proportional to 12,474.25, 17,213.84 and 6,809.24 is: 9,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.25 : 17,213.84 = 6,809.24 : x
  2. Step 2: Convert to fraction form
    12,474.25/17,213.84 = 6,809.24/x
  3. Step 3: Cross multiply
    12,474.25x = 17,213.84 × 6,809.24
  4. Step 4: Simplify right side
    12,474.25x = 117,213,073.30
  5. Step 5: Solve for x
    x = 117,213,073.30/12,474.25
  6. Step 6: Final answer
    x = 9,396.40

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