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Finding the Fourth Proportional to 18,388.50, 27,579.43 and 7,864.44

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Solution

The fourth proportional to 18,388.50, 27,579.43 and 7,864.44 is: 11,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,388.50 : 27,579.43 = 7,864.44 : x
  2. Step 2: Convert to fraction form
    18,388.50/27,579.43 = 7,864.44/x
  3. Step 3: Cross multiply
    18,388.50x = 27,579.43 × 7,864.44
  4. Step 4: Simplify right side
    18,388.50x = 216,896,772.47
  5. Step 5: Solve for x
    x = 216,896,772.47/18,388.50
  6. Step 6: Final answer
    x = 11,795.24

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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.