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Finding the Fourth Proportional to 12,662.56, 18,993.84 and 3,428.56

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Solution

The fourth proportional to 12,662.56, 18,993.84 and 3,428.56 is: 5,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.56 : 18,993.84 = 3,428.56 : x
  2. Step 2: Convert to fraction form
    12,662.56/18,993.84 = 3,428.56/x
  3. Step 3: Cross multiply
    12,662.56x = 18,993.84 × 3,428.56
  4. Step 4: Simplify right side
    12,662.56x = 65,121,520.07
  5. Step 5: Solve for x
    x = 65,121,520.07/12,662.56
  6. Step 6: Final answer
    x = 5,142.84

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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.