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Finding the Fourth Proportional to 16,286.73, 22,476.54 and 9,116.21

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Solution

The fourth proportional to 16,286.73, 22,476.54 and 9,116.21 is: 12,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.73 : 22,476.54 = 9,116.21 : x
  2. Step 2: Convert to fraction form
    16,286.73/22,476.54 = 9,116.21/x
  3. Step 3: Cross multiply
    16,286.73x = 22,476.54 × 9,116.21
  4. Step 4: Simplify right side
    16,286.73x = 204,900,746.33
  5. Step 5: Solve for x
    x = 204,900,746.33/16,286.73
  6. Step 6: Final answer
    x = 12,580.84

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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.