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Finding the Fourth Proportional to 18,205.86, 27,319.41 and 7,675.26

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Solution

The fourth proportional to 18,205.86, 27,319.41 and 7,675.26 is: 11,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.86 : 27,319.41 = 7,675.26 : x
  2. Step 2: Convert to fraction form
    18,205.86/27,319.41 = 7,675.26/x
  3. Step 3: Cross multiply
    18,205.86x = 27,319.41 × 7,675.26
  4. Step 4: Simplify right side
    18,205.86x = 209,683,574.80
  5. Step 5: Solve for x
    x = 209,683,574.80/18,205.86
  6. Step 6: Final answer
    x = 11,517.37

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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.