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Finding the Fourth Proportional to 18,563.46, 27,838.89 and 7,467.36

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Solution

The fourth proportional to 18,563.46, 27,838.89 and 7,467.36 is: 11,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.46 : 27,838.89 = 7,467.36 : x
  2. Step 2: Convert to fraction form
    18,563.46/27,838.89 = 7,467.36/x
  3. Step 3: Cross multiply
    18,563.46x = 27,838.89 × 7,467.36
  4. Step 4: Simplify right side
    18,563.46x = 207,883,013.63
  5. Step 5: Solve for x
    x = 207,883,013.63/18,563.46
  6. Step 6: Final answer
    x = 11,198.51

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Why These Related Problems?

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