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Finding the Fourth Proportional to 29,633.72, 40,892.39 and 16,202.13

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Solution

The fourth proportional to 29,633.72, 40,892.39 and 16,202.13 is: 22,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,633.72 : 40,892.39 = 16,202.13 : x
  2. Step 2: Convert to fraction form
    29,633.72/40,892.39 = 16,202.13/x
  3. Step 3: Cross multiply
    29,633.72x = 40,892.39 × 16,202.13
  4. Step 4: Simplify right side
    29,633.72x = 662,543,736.33
  5. Step 5: Solve for x
    x = 662,543,736.33/29,633.72
  6. Step 6: Final answer
    x = 22,357.77

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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.