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Finding the Fourth Proportional to 13,685.92, 18,891.26 and 8,022.44

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Solution

The fourth proportional to 13,685.92, 18,891.26 and 8,022.44 is: 11,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.92 : 18,891.26 = 8,022.44 : x
  2. Step 2: Convert to fraction form
    13,685.92/18,891.26 = 8,022.44/x
  3. Step 3: Cross multiply
    13,685.92x = 18,891.26 × 8,022.44
  4. Step 4: Simplify right side
    13,685.92x = 151,553,999.87
  5. Step 5: Solve for x
    x = 151,553,999.87/13,685.92
  6. Step 6: Final answer
    x = 11,073.72

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1.5x scale

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.