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Finding the Fourth Proportional to 21,199.42, 31,791.75 and 6,202.54

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Solution

The fourth proportional to 21,199.42, 31,791.75 and 6,202.54 is: 9,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.42 : 31,791.75 = 6,202.54 : x
  2. Step 2: Convert to fraction form
    21,199.42/31,791.75 = 6,202.54/x
  3. Step 3: Cross multiply
    21,199.42x = 31,791.75 × 6,202.54
  4. Step 4: Simplify right side
    21,199.42x = 197,189,601.05
  5. Step 5: Solve for x
    x = 197,189,601.05/21,199.42
  6. Step 6: Final answer
    x = 9,301.65

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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.