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Finding the Fourth Proportional to 16,081.64, 22,197.48 and 9,797.12

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Solution

The fourth proportional to 16,081.64, 22,197.48 and 9,797.12 is: 13,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.64 : 22,197.48 = 9,797.12 : x
  2. Step 2: Convert to fraction form
    16,081.64/22,197.48 = 9,797.12/x
  3. Step 3: Cross multiply
    16,081.64x = 22,197.48 × 9,797.12
  4. Step 4: Simplify right side
    16,081.64x = 217,471,375.26
  5. Step 5: Solve for x
    x = 217,471,375.26/16,081.64
  6. Step 6: Final answer
    x = 13,522.96

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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.