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Finding the Fourth Proportional to 16,277.33, 22,464.78 and 9,107.65

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Solution

The fourth proportional to 16,277.33, 22,464.78 and 9,107.65 is: 12,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.33 : 22,464.78 = 9,107.65 : x
  2. Step 2: Convert to fraction form
    16,277.33/22,464.78 = 9,107.65/x
  3. Step 3: Cross multiply
    16,277.33x = 22,464.78 × 9,107.65
  4. Step 4: Simplify right side
    16,277.33x = 204,601,241.24
  5. Step 5: Solve for x
    x = 204,601,241.24/16,277.33
  6. Step 6: Final answer
    x = 12,569.71

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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.