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Finding the Fourth Proportional to 12,356.25, 18,540.72 and 6,813.96

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Solution

The fourth proportional to 12,356.25, 18,540.72 and 6,813.96 is: 10,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.25 : 18,540.72 = 6,813.96 : x
  2. Step 2: Convert to fraction form
    12,356.25/18,540.72 = 6,813.96/x
  3. Step 3: Cross multiply
    12,356.25x = 18,540.72 × 6,813.96
  4. Step 4: Simplify right side
    12,356.25x = 126,335,724.45
  5. Step 5: Solve for x
    x = 126,335,724.45/12,356.25
  6. Step 6: Final answer
    x = 10,224.44

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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.