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Finding the Fourth Proportional to 16,469.12, 22,727.16 and 9,017.12

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Solution

The fourth proportional to 16,469.12, 22,727.16 and 9,017.12 is: 12,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.12 : 22,727.16 = 9,017.12 : x
  2. Step 2: Convert to fraction form
    16,469.12/22,727.16 = 9,017.12/x
  3. Step 3: Cross multiply
    16,469.12x = 22,727.16 × 9,017.12
  4. Step 4: Simplify right side
    16,469.12x = 204,933,528.98
  5. Step 5: Solve for x
    x = 204,933,528.98/16,469.12
  6. Step 6: Final answer
    x = 12,443.50

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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.