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Finding the Fourth Proportional to 11,919.28, 17,865.92 and 8,014

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Solution

The fourth proportional to 11,919.28, 17,865.92 and 8,014 is: 12,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.28 : 17,865.92 = 8,014 : x
  2. Step 2: Convert to fraction form
    11,919.28/17,865.92 = 8,014/x
  3. Step 3: Cross multiply
    11,919.28x = 17,865.92 × 8,014
  4. Step 4: Simplify right side
    11,919.28x = 143,177,482.88
  5. Step 5: Solve for x
    x = 143,177,482.88/11,919.28
  6. Step 6: Final answer
    x = 12,012.26

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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.