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Finding the Fourth Proportional to 12,214.13, 16,855.49 and 6,908.83

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Solution

The fourth proportional to 12,214.13, 16,855.49 and 6,908.83 is: 9,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.13 : 16,855.49 = 6,908.83 : x
  2. Step 2: Convert to fraction form
    12,214.13/16,855.49 = 6,908.83/x
  3. Step 3: Cross multiply
    12,214.13x = 16,855.49 × 6,908.83
  4. Step 4: Simplify right side
    12,214.13x = 116,451,690.11
  5. Step 5: Solve for x
    x = 116,451,690.11/12,214.13
  6. Step 6: Final answer
    x = 9,534.18

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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.