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Finding the Fourth Proportional to 16,286.56, 22,467.68 and 9,480.60

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Solution

The fourth proportional to 16,286.56, 22,467.68 and 9,480.60 is: 13,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.56 : 22,467.68 = 9,480.60 : x
  2. Step 2: Convert to fraction form
    16,286.56/22,467.68 = 9,480.60/x
  3. Step 3: Cross multiply
    16,286.56x = 22,467.68 × 9,480.60
  4. Step 4: Simplify right side
    16,286.56x = 213,007,087.01
  5. Step 5: Solve for x
    x = 213,007,087.01/16,286.56
  6. Step 6: Final answer
    x = 13,078.70

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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.