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Finding the Fourth Proportional to 33,700.68, 50,558.22 and 12,924

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Solution

The fourth proportional to 33,700.68, 50,558.22 and 12,924 is: 19,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,700.68 : 50,558.22 = 12,924 : x
  2. Step 2: Convert to fraction form
    33,700.68/50,558.22 = 12,924/x
  3. Step 3: Cross multiply
    33,700.68x = 50,558.22 × 12,924
  4. Step 4: Simplify right side
    33,700.68x = 653,414,435.28
  5. Step 5: Solve for x
    x = 653,414,435.28/33,700.68
  6. Step 6: Final answer
    x = 19,388.76

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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.