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Finding the Fourth Proportional to 18,563.57, 27,838.88 and 7,467.38

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Solution

The fourth proportional to 18,563.57, 27,838.88 and 7,467.38 is: 11,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.57 : 27,838.88 = 7,467.38 : x
  2. Step 2: Convert to fraction form
    18,563.57/27,838.88 = 7,467.38/x
  3. Step 3: Cross multiply
    18,563.57x = 27,838.88 × 7,467.38
  4. Step 4: Simplify right side
    18,563.57x = 207,883,527.99
  5. Step 5: Solve for x
    x = 207,883,527.99/18,563.57
  6. Step 6: Final answer
    x = 11,198.47

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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.