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Finding the Fourth Proportional to 12,286.25, 16,949.68 and 7,807.60

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Solution

The fourth proportional to 12,286.25, 16,949.68 and 7,807.60 is: 10,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.25 : 16,949.68 = 7,807.60 : x
  2. Step 2: Convert to fraction form
    12,286.25/16,949.68 = 7,807.60/x
  3. Step 3: Cross multiply
    12,286.25x = 16,949.68 × 7,807.60
  4. Step 4: Simplify right side
    12,286.25x = 132,336,197.78
  5. Step 5: Solve for x
    x = 132,336,197.78/12,286.25
  6. Step 6: Final answer
    x = 10,771.09

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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.