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Finding the Fourth Proportional to 12,996.25, 19,496.78 and 4,113.82

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Solution

The fourth proportional to 12,996.25, 19,496.78 and 4,113.82 is: 6,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.25 : 19,496.78 = 4,113.82 : x
  2. Step 2: Convert to fraction form
    12,996.25/19,496.78 = 4,113.82/x
  3. Step 3: Cross multiply
    12,996.25x = 19,496.78 × 4,113.82
  4. Step 4: Simplify right side
    12,996.25x = 80,206,243.50
  5. Step 5: Solve for x
    x = 80,206,243.50/12,996.25
  6. Step 6: Final answer
    x = 6,171.49

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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.