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Finding the Fourth Proportional to 12,564.38, 18,846.57 and 3,330.38

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Solution

The fourth proportional to 12,564.38, 18,846.57 and 3,330.38 is: 4,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.38 : 18,846.57 = 3,330.38 : x
  2. Step 2: Convert to fraction form
    12,564.38/18,846.57 = 3,330.38/x
  3. Step 3: Cross multiply
    12,564.38x = 18,846.57 × 3,330.38
  4. Step 4: Simplify right side
    12,564.38x = 62,766,145.56
  5. Step 5: Solve for x
    x = 62,766,145.56/12,564.38
  6. Step 6: Final answer
    x = 4,995.56

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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.