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Finding the Fourth Proportional to 18,205.93, 27,319.51 and 7,675.31

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Solution

The fourth proportional to 18,205.93, 27,319.51 and 7,675.31 is: 11,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.93 : 27,319.51 = 7,675.31 : x
  2. Step 2: Convert to fraction form
    18,205.93/27,319.51 = 7,675.31/x
  3. Step 3: Cross multiply
    18,205.93x = 27,319.51 × 7,675.31
  4. Step 4: Simplify right side
    18,205.93x = 209,685,571.70
  5. Step 5: Solve for x
    x = 209,685,571.70/18,205.93
  6. Step 6: Final answer
    x = 11,517.43

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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.