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Finding the Fourth Proportional to 24,731.21, 37,094.99 and 8,090.97

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Solution

The fourth proportional to 24,731.21, 37,094.99 and 8,090.97 is: 12,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.21 : 37,094.99 = 8,090.97 : x
  2. Step 2: Convert to fraction form
    24,731.21/37,094.99 = 8,090.97/x
  3. Step 3: Cross multiply
    24,731.21x = 37,094.99 × 8,090.97
  4. Step 4: Simplify right side
    24,731.21x = 300,134,410.79
  5. Step 5: Solve for x
    x = 300,134,410.79/24,731.21
  6. Step 6: Final answer
    x = 12,135.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.