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Finding the Fourth Proportional to 18,137.85, 27,190.33 and 6,448.33

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Solution

The fourth proportional to 18,137.85, 27,190.33 and 6,448.33 is: 9,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.85 : 27,190.33 = 6,448.33 : x
  2. Step 2: Convert to fraction form
    18,137.85/27,190.33 = 6,448.33/x
  3. Step 3: Cross multiply
    18,137.85x = 27,190.33 × 6,448.33
  4. Step 4: Simplify right side
    18,137.85x = 175,332,220.65
  5. Step 5: Solve for x
    x = 175,332,220.65/18,137.85
  6. Step 6: Final answer
    x = 9,666.65

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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.