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Finding the Fourth Proportional to 21,197.38, 31,796.67 and 5,615

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Solution

The fourth proportional to 21,197.38, 31,796.67 and 5,615 is: 8,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.38 : 31,796.67 = 5,615 : x
  2. Step 2: Convert to fraction form
    21,197.38/31,796.67 = 5,615/x
  3. Step 3: Cross multiply
    21,197.38x = 31,796.67 × 5,615
  4. Step 4: Simplify right side
    21,197.38x = 178,538,302.05
  5. Step 5: Solve for x
    x = 178,538,302.05/21,197.38
  6. Step 6: Final answer
    x = 8,422.66

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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.