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Finding the Fourth Proportional to 12,296.39, 16,968.97 and 6,991.21

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Solution

The fourth proportional to 12,296.39, 16,968.97 and 6,991.21 is: 9,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.39 : 16,968.97 = 6,991.21 : x
  2. Step 2: Convert to fraction form
    12,296.39/16,968.97 = 6,991.21/x
  3. Step 3: Cross multiply
    12,296.39x = 16,968.97 × 6,991.21
  4. Step 4: Simplify right side
    12,296.39x = 118,633,632.75
  5. Step 5: Solve for x
    x = 118,633,632.75/12,296.39
  6. Step 6: Final answer
    x = 9,647.84

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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.