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Finding the Fourth Proportional to 12,107.33, 18,161.90 and 3,342.16

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Solution

The fourth proportional to 12,107.33, 18,161.90 and 3,342.16 is: 5,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.33 : 18,161.90 = 3,342.16 : x
  2. Step 2: Convert to fraction form
    12,107.33/18,161.90 = 3,342.16/x
  3. Step 3: Cross multiply
    12,107.33x = 18,161.90 × 3,342.16
  4. Step 4: Simplify right side
    12,107.33x = 60,699,975.70
  5. Step 5: Solve for x
    x = 60,699,975.70/12,107.33
  6. Step 6: Final answer
    x = 5,013.49

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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.