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Finding the Fourth Proportional to 12,633.73, 18,951.50 and 3,867.50

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Solution

The fourth proportional to 12,633.73, 18,951.50 and 3,867.50 is: 5,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.73 : 18,951.50 = 3,867.50 : x
  2. Step 2: Convert to fraction form
    12,633.73/18,951.50 = 3,867.50/x
  3. Step 3: Cross multiply
    12,633.73x = 18,951.50 × 3,867.50
  4. Step 4: Simplify right side
    12,633.73x = 73,294,983.30
  5. Step 5: Solve for x
    x = 73,294,983.30/12,633.73
  6. Step 6: Final answer
    x = 5,801.53

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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.