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Finding the Fourth Proportional to 24,731.24, 37,098.36 and 8,093.03

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Solution

The fourth proportional to 24,731.24, 37,098.36 and 8,093.03 is: 12,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.24 : 37,098.36 = 8,093.03 : x
  2. Step 2: Convert to fraction form
    24,731.24/37,098.36 = 8,093.03/x
  3. Step 3: Cross multiply
    24,731.24x = 37,098.36 × 8,093.03
  4. Step 4: Simplify right side
    24,731.24x = 300,237,954.94
  5. Step 5: Solve for x
    x = 300,237,954.94/24,731.24
  6. Step 6: Final answer
    x = 12,140.03

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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.