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Finding the Fourth Proportional to 24,757.74, 37,121.77 and 7,883.46

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Solution

The fourth proportional to 24,757.74, 37,121.77 and 7,883.46 is: 11,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.74 : 37,121.77 = 7,883.46 : x
  2. Step 2: Convert to fraction form
    24,757.74/37,121.77 = 7,883.46/x
  3. Step 3: Cross multiply
    24,757.74x = 37,121.77 × 7,883.46
  4. Step 4: Simplify right side
    24,757.74x = 292,647,988.92
  5. Step 5: Solve for x
    x = 292,647,988.92/24,757.74
  6. Step 6: Final answer
    x = 11,820.46

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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.