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Finding the Fourth Proportional to 18,524.66, 27,766.61 and 9,150.80

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Solution

The fourth proportional to 18,524.66, 27,766.61 and 9,150.80 is: 13,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.66 : 27,766.61 = 9,150.80 : x
  2. Step 2: Convert to fraction form
    18,524.66/27,766.61 = 9,150.80/x
  3. Step 3: Cross multiply
    18,524.66x = 27,766.61 × 9,150.80
  4. Step 4: Simplify right side
    18,524.66x = 254,086,718.45
  5. Step 5: Solve for x
    x = 254,086,718.45/18,524.66
  6. Step 6: Final answer
    x = 13,716.13

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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.