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Finding the Fourth Proportional to 12,181.69, 18,279.83 and 6,991.21

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Solution

The fourth proportional to 12,181.69, 18,279.83 and 6,991.21 is: 10,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.69 : 18,279.83 = 6,991.21 : x
  2. Step 2: Convert to fraction form
    12,181.69/18,279.83 = 6,991.21/x
  3. Step 3: Cross multiply
    12,181.69x = 18,279.83 × 6,991.21
  4. Step 4: Simplify right side
    12,181.69x = 127,798,131.30
  5. Step 5: Solve for x
    x = 127,798,131.30/12,181.69
  6. Step 6: Final answer
    x = 10,491.00

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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.