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Finding the Fourth Proportional to 29,849.36, 41,193.50 and 16,420.37

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Solution

The fourth proportional to 29,849.36, 41,193.50 and 16,420.37 is: 22,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849.36 : 41,193.50 = 16,420.37 : x
  2. Step 2: Convert to fraction form
    29,849.36/41,193.50 = 16,420.37/x
  3. Step 3: Cross multiply
    29,849.36x = 41,193.50 × 16,420.37
  4. Step 4: Simplify right side
    29,849.36x = 676,412,511.60
  5. Step 5: Solve for x
    x = 676,412,511.60/29,849.36
  6. Step 6: Final answer
    x = 22,660.87

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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.