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Finding the Fourth Proportional to 13,086.92, 18,054.16 and 8,722.24

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Solution

The fourth proportional to 13,086.92, 18,054.16 and 8,722.24 is: 12,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.92 : 18,054.16 = 8,722.24 : x
  2. Step 2: Convert to fraction form
    13,086.92/18,054.16 = 8,722.24/x
  3. Step 3: Cross multiply
    13,086.92x = 18,054.16 × 8,722.24
  4. Step 4: Simplify right side
    13,086.92x = 157,472,716.52
  5. Step 5: Solve for x
    x = 157,472,716.52/13,086.92
  6. Step 6: Final answer
    x = 12,032.83

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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.