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Finding the Fourth Proportional to 24,731.38, 37,099.37 and 8,091.52

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Solution

The fourth proportional to 24,731.38, 37,099.37 and 8,091.52 is: 12,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.38 : 37,099.37 = 8,091.52 : x
  2. Step 2: Convert to fraction form
    24,731.38/37,099.37 = 8,091.52/x
  3. Step 3: Cross multiply
    24,731.38x = 37,099.37 × 8,091.52
  4. Step 4: Simplify right side
    24,731.38x = 300,190,294.34
  5. Step 5: Solve for x
    x = 300,190,294.34/24,731.38
  6. Step 6: Final answer
    x = 12,138.03

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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.