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Finding the Fourth Proportional to 18,564.57, 27,839.94 and 7,467.45

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Solution

The fourth proportional to 18,564.57, 27,839.94 and 7,467.45 is: 11,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.57 : 27,839.94 = 7,467.45 : x
  2. Step 2: Convert to fraction form
    18,564.57/27,839.94 = 7,467.45/x
  3. Step 3: Cross multiply
    18,564.57x = 27,839.94 × 7,467.45
  4. Step 4: Simplify right side
    18,564.57x = 207,893,359.95
  5. Step 5: Solve for x
    x = 207,893,359.95/18,564.57
  6. Step 6: Final answer
    x = 11,198.39

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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.