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Finding the Fourth Proportional to 13,382.60, 20,086.24 and 6,813.52

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Solution

The fourth proportional to 13,382.60, 20,086.24 and 6,813.52 is: 10,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.60 : 20,086.24 = 6,813.52 : x
  2. Step 2: Convert to fraction form
    13,382.60/20,086.24 = 6,813.52/x
  3. Step 3: Cross multiply
    13,382.60x = 20,086.24 × 6,813.52
  4. Step 4: Simplify right side
    13,382.60x = 136,857,997.96
  5. Step 5: Solve for x
    x = 136,857,997.96/13,382.60
  6. Step 6: Final answer
    x = 10,226.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.