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Finding the Fourth Proportional to 24,782.36, 37,173.53 and 8,137.92

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Solution

The fourth proportional to 24,782.36, 37,173.53 and 8,137.92 is: 12,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.36 : 37,173.53 = 8,137.92 : x
  2. Step 2: Convert to fraction form
    24,782.36/37,173.53 = 8,137.92/x
  3. Step 3: Cross multiply
    24,782.36x = 37,173.53 × 8,137.92
  4. Step 4: Simplify right side
    24,782.36x = 302,515,163.90
  5. Step 5: Solve for x
    x = 302,515,163.90/24,782.36
  6. Step 6: Final answer
    x = 12,206.88

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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.