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Finding the Fourth Proportional to 19,493.31, 29,234.77 and 5,452.46

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Solution

The fourth proportional to 19,493.31, 29,234.77 and 5,452.46 is: 8,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.31 : 29,234.77 = 5,452.46 : x
  2. Step 2: Convert to fraction form
    19,493.31/29,234.77 = 5,452.46/x
  3. Step 3: Cross multiply
    19,493.31x = 29,234.77 × 5,452.46
  4. Step 4: Simplify right side
    19,493.31x = 159,401,558.98
  5. Step 5: Solve for x
    x = 159,401,558.98/19,493.31
  6. Step 6: Final answer
    x = 8,177.25

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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.