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Finding the Fourth Proportional to 16,286.22, 22,476.06 and 9,116.75

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Solution

The fourth proportional to 16,286.22, 22,476.06 and 9,116.75 is: 12,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.22 : 22,476.06 = 9,116.75 : x
  2. Step 2: Convert to fraction form
    16,286.22/22,476.06 = 9,116.75/x
  3. Step 3: Cross multiply
    16,286.22x = 22,476.06 × 9,116.75
  4. Step 4: Simplify right side
    16,286.22x = 204,908,620.01
  5. Step 5: Solve for x
    x = 204,908,620.01/16,286.22
  6. Step 6: Final answer
    x = 12,581.72

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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.