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Finding the Fourth Proportional to 18,533.73, 27,801.83 and 6,524.44

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Solution

The fourth proportional to 18,533.73, 27,801.83 and 6,524.44 is: 9,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.73 : 27,801.83 = 6,524.44 : x
  2. Step 2: Convert to fraction form
    18,533.73/27,801.83 = 6,524.44/x
  3. Step 3: Cross multiply
    18,533.73x = 27,801.83 × 6,524.44
  4. Step 4: Simplify right side
    18,533.73x = 181,391,371.73
  5. Step 5: Solve for x
    x = 181,391,371.73/18,533.73
  6. Step 6: Final answer
    x = 9,787.09

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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.