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Finding the Fourth Proportional to 30,216.42, 41,696.46 and 16,786.98

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Solution

The fourth proportional to 30,216.42, 41,696.46 and 16,786.98 is: 23,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216.42 : 41,696.46 = 16,786.98 : x
  2. Step 2: Convert to fraction form
    30,216.42/41,696.46 = 16,786.98/x
  3. Step 3: Cross multiply
    30,216.42x = 41,696.46 × 16,786.98
  4. Step 4: Simplify right side
    30,216.42x = 699,957,640.09
  5. Step 5: Solve for x
    x = 699,957,640.09/30,216.42
  6. Step 6: Final answer
    x = 23,164.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.