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Finding the Fourth Proportional to 16,286.67, 22,476.69 and 9,117.27

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Solution

The fourth proportional to 16,286.67, 22,476.69 and 9,117.27 is: 12,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.67 : 22,476.69 = 9,117.27 : x
  2. Step 2: Convert to fraction form
    16,286.67/22,476.69 = 9,117.27/x
  3. Step 3: Cross multiply
    16,286.67x = 22,476.69 × 9,117.27
  4. Step 4: Simplify right side
    16,286.67x = 204,926,051.44
  5. Step 5: Solve for x
    x = 204,926,051.44/16,286.67
  6. Step 6: Final answer
    x = 12,582.44

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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.