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Finding the Fourth Proportional to 14,612.68, 20,164.29 and 8,238.92

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Solution

The fourth proportional to 14,612.68, 20,164.29 and 8,238.92 is: 11,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.68 : 20,164.29 = 8,238.92 : x
  2. Step 2: Convert to fraction form
    14,612.68/20,164.29 = 8,238.92/x
  3. Step 3: Cross multiply
    14,612.68x = 20,164.29 × 8,238.92
  4. Step 4: Simplify right side
    14,612.68x = 166,131,972.17
  5. Step 5: Solve for x
    x = 166,131,972.17/14,612.68
  6. Step 6: Final answer
    x = 11,369.03

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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.