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Finding the Fourth Proportional to 12,214, 16,855.32 and 6,625.04

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Solution

The fourth proportional to 12,214, 16,855.32 and 6,625.04 is: 9,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214 : 16,855.32 = 6,625.04 : x
  2. Step 2: Convert to fraction form
    12,214/16,855.32 = 6,625.04/x
  3. Step 3: Cross multiply
    12,214x = 16,855.32 × 6,625.04
  4. Step 4: Simplify right side
    12,214x = 111,667,169.21
  5. Step 5: Solve for x
    x = 111,667,169.21/12,214
  6. Step 6: Final answer
    x = 9,142.56

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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.