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Finding the Fourth Proportional to 16,661.72, 22,991.58 and 9,107.57

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Solution

The fourth proportional to 16,661.72, 22,991.58 and 9,107.57 is: 12,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.72 : 22,991.58 = 9,107.57 : x
  2. Step 2: Convert to fraction form
    16,661.72/22,991.58 = 9,107.57/x
  3. Step 3: Cross multiply
    16,661.72x = 22,991.58 × 9,107.57
  4. Step 4: Simplify right side
    16,661.72x = 209,397,309.30
  5. Step 5: Solve for x
    x = 209,397,309.30/16,661.72
  6. Step 6: Final answer
    x = 12,567.57

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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.