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Finding the Fourth Proportional to 24,782.75, 37,141.31 and 11,611.54

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Solution

The fourth proportional to 24,782.75, 37,141.31 and 11,611.54 is: 17,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.75 : 37,141.31 = 11,611.54 : x
  2. Step 2: Convert to fraction form
    24,782.75/37,141.31 = 11,611.54/x
  3. Step 3: Cross multiply
    24,782.75x = 37,141.31 × 11,611.54
  4. Step 4: Simplify right side
    24,782.75x = 431,267,806.72
  5. Step 5: Solve for x
    x = 431,267,806.72/24,782.75
  6. Step 6: Final answer
    x = 17,401.94

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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.