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Finding the Fourth Proportional to 24,749.37, 37,130.96 and 8,121.09

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Solution

The fourth proportional to 24,749.37, 37,130.96 and 8,121.09 is: 12,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.37 : 37,130.96 = 8,121.09 : x
  2. Step 2: Convert to fraction form
    24,749.37/37,130.96 = 8,121.09/x
  3. Step 3: Cross multiply
    24,749.37x = 37,130.96 × 8,121.09
  4. Step 4: Simplify right side
    24,749.37x = 301,543,867.95
  5. Step 5: Solve for x
    x = 301,543,867.95/24,749.37
  6. Step 6: Final answer
    x = 12,183.90

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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.