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Finding the Fourth Proportional to 12,226.68, 16,872.72 and 6,637.68

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Solution

The fourth proportional to 12,226.68, 16,872.72 and 6,637.68 is: 9,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.68 : 16,872.72 = 6,637.68 : x
  2. Step 2: Convert to fraction form
    12,226.68/16,872.72 = 6,637.68/x
  3. Step 3: Cross multiply
    12,226.68x = 16,872.72 × 6,637.68
  4. Step 4: Simplify right side
    12,226.68x = 111,995,716.09
  5. Step 5: Solve for x
    x = 111,995,716.09/12,226.68
  6. Step 6: Final answer
    x = 9,159.94

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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.