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Finding the Fourth Proportional to 12,642.57, 18,964.34 and 3,282.33

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Solution

The fourth proportional to 12,642.57, 18,964.34 and 3,282.33 is: 4,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.57 : 18,964.34 = 3,282.33 : x
  2. Step 2: Convert to fraction form
    12,642.57/18,964.34 = 3,282.33/x
  3. Step 3: Cross multiply
    12,642.57x = 18,964.34 × 3,282.33
  4. Step 4: Simplify right side
    12,642.57x = 62,247,205.70
  5. Step 5: Solve for x
    x = 62,247,205.70/12,642.57
  6. Step 6: Final answer
    x = 4,923.62

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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.