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Finding the Fourth Proportional to 24,682.48, 37,023.76 and 8,266.48

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Solution

The fourth proportional to 24,682.48, 37,023.76 and 8,266.48 is: 12,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682.48 : 37,023.76 = 8,266.48 : x
  2. Step 2: Convert to fraction form
    24,682.48/37,023.76 = 8,266.48/x
  3. Step 3: Cross multiply
    24,682.48x = 37,023.76 × 8,266.48
  4. Step 4: Simplify right side
    24,682.48x = 306,056,171.56
  5. Step 5: Solve for x
    x = 306,056,171.56/24,682.48
  6. Step 6: Final answer
    x = 12,399.73

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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.