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Finding the Fourth Proportional to 12,668.12, 18,991.94 and 5,278.14

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Solution

The fourth proportional to 12,668.12, 18,991.94 and 5,278.14 is: 7,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.12 : 18,991.94 = 5,278.14 : x
  2. Step 2: Convert to fraction form
    12,668.12/18,991.94 = 5,278.14/x
  3. Step 3: Cross multiply
    12,668.12x = 18,991.94 × 5,278.14
  4. Step 4: Simplify right side
    12,668.12x = 100,242,118.19
  5. Step 5: Solve for x
    x = 100,242,118.19/12,668.12
  6. Step 6: Final answer
    x = 7,912.94

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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.