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Finding the Fourth Proportional to 12,912.38, 19,371.80 and 3,678.38

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Solution

The fourth proportional to 12,912.38, 19,371.80 and 3,678.38 is: 5,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.38 : 19,371.80 = 3,678.38 : x
  2. Step 2: Convert to fraction form
    12,912.38/19,371.80 = 3,678.38/x
  3. Step 3: Cross multiply
    12,912.38x = 19,371.80 × 3,678.38
  4. Step 4: Simplify right side
    12,912.38x = 71,256,841.68
  5. Step 5: Solve for x
    x = 71,256,841.68/12,912.38
  6. Step 6: Final answer
    x = 5,518.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.