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Finding the Fourth Proportional to 16,286.40, 22,474.82 and 9,116.40

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Solution

The fourth proportional to 16,286.40, 22,474.82 and 9,116.40 is: 12,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.40 : 22,474.82 = 9,116.40 : x
  2. Step 2: Convert to fraction form
    16,286.40/22,474.82 = 9,116.40/x
  3. Step 3: Cross multiply
    16,286.40x = 22,474.82 × 9,116.40
  4. Step 4: Simplify right side
    16,286.40x = 204,889,449.05
  5. Step 5: Solve for x
    x = 204,889,449.05/16,286.40
  6. Step 6: Final answer
    x = 12,580.40

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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.