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Finding the Fourth Proportional to 33,694.06, 50,559.39 and 13,986.16

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Solution

The fourth proportional to 33,694.06, 50,559.39 and 13,986.16 is: 20,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694.06 : 50,559.39 = 13,986.16 : x
  2. Step 2: Convert to fraction form
    33,694.06/50,559.39 = 13,986.16/x
  3. Step 3: Cross multiply
    33,694.06x = 50,559.39 × 13,986.16
  4. Step 4: Simplify right side
    33,694.06x = 707,131,718.04
  5. Step 5: Solve for x
    x = 707,131,718.04/33,694.06
  6. Step 6: Final answer
    x = 20,986.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.