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Finding the Fourth Proportional to 21,086.98, 31,629.39 and 6,296.02

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Solution

The fourth proportional to 21,086.98, 31,629.39 and 6,296.02 is: 9,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.98 : 31,629.39 = 6,296.02 : x
  2. Step 2: Convert to fraction form
    21,086.98/31,629.39 = 6,296.02/x
  3. Step 3: Cross multiply
    21,086.98x = 31,629.39 × 6,296.02
  4. Step 4: Simplify right side
    21,086.98x = 199,139,272.03
  5. Step 5: Solve for x
    x = 199,139,272.03/21,086.98
  6. Step 6: Final answer
    x = 9,443.71

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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.