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Finding the Fourth Proportional to 12,296.56, 16,969.26 and 6,991.71

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Solution

The fourth proportional to 12,296.56, 16,969.26 and 6,991.71 is: 9,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.56 : 16,969.26 = 6,991.71 : x
  2. Step 2: Convert to fraction form
    12,296.56/16,969.26 = 6,991.71/x
  3. Step 3: Cross multiply
    12,296.56x = 16,969.26 × 6,991.71
  4. Step 4: Simplify right side
    12,296.56x = 118,644,144.83
  5. Step 5: Solve for x
    x = 118,644,144.83/12,296.56
  6. Step 6: Final answer
    x = 9,648.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.