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Finding the Fourth Proportional to 12,296.65, 16,968.88 and 7,262.49

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Solution

The fourth proportional to 12,296.65, 16,968.88 and 7,262.49 is: 10,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.65 : 16,968.88 = 7,262.49 : x
  2. Step 2: Convert to fraction form
    12,296.65/16,968.88 = 7,262.49/x
  3. Step 3: Cross multiply
    12,296.65x = 16,968.88 × 7,262.49
  4. Step 4: Simplify right side
    12,296.65x = 123,236,321.31
  5. Step 5: Solve for x
    x = 123,236,321.31/12,296.65
  6. Step 6: Final answer
    x = 10,021.94

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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.