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Finding the Fourth Proportional to 12,476.50, 18,694.19 and 11,190.42

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Solution

The fourth proportional to 12,476.50, 18,694.19 and 11,190.42 is: 16,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.50 : 18,694.19 = 11,190.42 : x
  2. Step 2: Convert to fraction form
    12,476.50/18,694.19 = 11,190.42/x
  3. Step 3: Cross multiply
    12,476.50x = 18,694.19 × 11,190.42
  4. Step 4: Simplify right side
    12,476.50x = 209,195,865.64
  5. Step 5: Solve for x
    x = 209,195,865.64/12,476.50
  6. Step 6: Final answer
    x = 16,767.19

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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.