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Finding the Fourth Proportional to 29,893.44, 41,216.40 and 18,696

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Solution

The fourth proportional to 29,893.44, 41,216.40 and 18,696 is: 25,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,893.44 : 41,216.40 = 18,696 : x
  2. Step 2: Convert to fraction form
    29,893.44/41,216.40 = 18,696/x
  3. Step 3: Cross multiply
    29,893.44x = 41,216.40 × 18,696
  4. Step 4: Simplify right side
    29,893.44x = 770,581,814.40
  5. Step 5: Solve for x
    x = 770,581,814.40/29,893.44
  6. Step 6: Final answer
    x = 25,777.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.