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Finding the Fourth Proportional to 13,227, 19,840.50 and 3,993

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Solution

The fourth proportional to 13,227, 19,840.50 and 3,993 is: 5,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227 : 19,840.50 = 3,993 : x
  2. Step 2: Convert to fraction form
    13,227/19,840.50 = 3,993/x
  3. Step 3: Cross multiply
    13,227x = 19,840.50 × 3,993
  4. Step 4: Simplify right side
    13,227x = 79,223,116.50
  5. Step 5: Solve for x
    x = 79,223,116.50/13,227
  6. Step 6: Final answer
    x = 5,989.50

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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.