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Finding the Fourth Proportional to 12,144.48, 16,759.44 and 6,839.39

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Solution

The fourth proportional to 12,144.48, 16,759.44 and 6,839.39 is: 9,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.48 : 16,759.44 = 6,839.39 : x
  2. Step 2: Convert to fraction form
    12,144.48/16,759.44 = 6,839.39/x
  3. Step 3: Cross multiply
    12,144.48x = 16,759.44 × 6,839.39
  4. Step 4: Simplify right side
    12,144.48x = 114,624,262.54
  5. Step 5: Solve for x
    x = 114,624,262.54/12,144.48
  6. Step 6: Final answer
    x = 9,438.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.