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Finding the Fourth Proportional to 12,109.68, 18,164.01 and 4,213.99

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Solution

The fourth proportional to 12,109.68, 18,164.01 and 4,213.99 is: 6,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.68 : 18,164.01 = 4,213.99 : x
  2. Step 2: Convert to fraction form
    12,109.68/18,164.01 = 4,213.99/x
  3. Step 3: Cross multiply
    12,109.68x = 18,164.01 × 4,213.99
  4. Step 4: Simplify right side
    12,109.68x = 76,542,995.01
  5. Step 5: Solve for x
    x = 76,542,995.01/12,109.68
  6. Step 6: Final answer
    x = 6,320.81

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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.