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Finding the Fourth Proportional to 19,874.94, 29,770.29 and 13,605.54

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Solution

The fourth proportional to 19,874.94, 29,770.29 and 13,605.54 is: 20,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.94 : 29,770.29 = 13,605.54 : x
  2. Step 2: Convert to fraction form
    19,874.94/29,770.29 = 13,605.54/x
  3. Step 3: Cross multiply
    19,874.94x = 29,770.29 × 13,605.54
  4. Step 4: Simplify right side
    19,874.94x = 405,040,871.41
  5. Step 5: Solve for x
    x = 405,040,871.41/19,874.94
  6. Step 6: Final answer
    x = 20,379.48

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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.