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Finding the Fourth Proportional to 20,892.42, 31,338.72 and 9,791.01

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Solution

The fourth proportional to 20,892.42, 31,338.72 and 9,791.01 is: 14,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.42 : 31,338.72 = 9,791.01 : x
  2. Step 2: Convert to fraction form
    20,892.42/31,338.72 = 9,791.01/x
  3. Step 3: Cross multiply
    20,892.42x = 31,338.72 × 9,791.01
  4. Step 4: Simplify right side
    20,892.42x = 306,837,720.91
  5. Step 5: Solve for x
    x = 306,837,720.91/20,892.42
  6. Step 6: Final answer
    x = 14,686.56

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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.