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Finding the Fourth Proportional to 20,553.75, 30,768.20 and 13,163.40

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Solution

The fourth proportional to 20,553.75, 30,768.20 and 13,163.40 is: 19,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553.75 : 30,768.20 = 13,163.40 : x
  2. Step 2: Convert to fraction form
    20,553.75/30,768.20 = 13,163.40/x
  3. Step 3: Cross multiply
    20,553.75x = 30,768.20 × 13,163.40
  4. Step 4: Simplify right side
    20,553.75x = 405,014,058.06
  5. Step 5: Solve for x
    x = 405,014,058.06/20,553.75
  6. Step 6: Final answer
    x = 19,705.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.