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Finding the Fourth Proportional to 12,474.68, 17,214.33 and 6,808.30

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Solution

The fourth proportional to 12,474.68, 17,214.33 and 6,808.30 is: 9,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.68 : 17,214.33 = 6,808.30 : x
  2. Step 2: Convert to fraction form
    12,474.68/17,214.33 = 6,808.30/x
  3. Step 3: Cross multiply
    12,474.68x = 17,214.33 × 6,808.30
  4. Step 4: Simplify right side
    12,474.68x = 117,200,236.87
  5. Step 5: Solve for x
    x = 117,200,236.87/12,474.68
  6. Step 6: Final answer
    x = 9,395.05

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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.