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Finding the Fourth Proportional to 12,649.70, 18,974.58 and 3,288.94

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Solution

The fourth proportional to 12,649.70, 18,974.58 and 3,288.94 is: 4,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.70 : 18,974.58 = 3,288.94 : x
  2. Step 2: Convert to fraction form
    12,649.70/18,974.58 = 3,288.94/x
  3. Step 3: Cross multiply
    12,649.70x = 18,974.58 × 3,288.94
  4. Step 4: Simplify right side
    12,649.70x = 62,406,195.38
  5. Step 5: Solve for x
    x = 62,406,195.38/12,649.70
  6. Step 6: Final answer
    x = 4,933.41

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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.