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Finding the Fourth Proportional to 20,791.56, 31,197.76 and 9,699.12

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Solution

The fourth proportional to 20,791.56, 31,197.76 and 9,699.12 is: 14,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.56 : 31,197.76 = 9,699.12 : x
  2. Step 2: Convert to fraction form
    20,791.56/31,197.76 = 9,699.12/x
  3. Step 3: Cross multiply
    20,791.56x = 31,197.76 × 9,699.12
  4. Step 4: Simplify right side
    20,791.56x = 302,590,817.97
  5. Step 5: Solve for x
    x = 302,590,817.97/20,791.56
  6. Step 6: Final answer
    x = 14,553.54

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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.