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Finding the Fourth Proportional to 33,633.96, 50,465.34 and 13,926.84

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Solution

The fourth proportional to 33,633.96, 50,465.34 and 13,926.84 is: 20,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.96 : 50,465.34 = 13,926.84 : x
  2. Step 2: Convert to fraction form
    33,633.96/50,465.34 = 13,926.84/x
  3. Step 3: Cross multiply
    33,633.96x = 50,465.34 × 13,926.84
  4. Step 4: Simplify right side
    33,633.96x = 702,822,715.73
  5. Step 5: Solve for x
    x = 702,822,715.73/33,633.96
  6. Step 6: Final answer
    x = 20,896.22

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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.