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Finding the Fourth Proportional to 24,738.20, 37,111.18 and 8,094.32

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Solution

The fourth proportional to 24,738.20, 37,111.18 and 8,094.32 is: 12,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.20 : 37,111.18 = 8,094.32 : x
  2. Step 2: Convert to fraction form
    24,738.20/37,111.18 = 8,094.32/x
  3. Step 3: Cross multiply
    24,738.20x = 37,111.18 × 8,094.32
  4. Step 4: Simplify right side
    24,738.20x = 300,389,766.50
  5. Step 5: Solve for x
    x = 300,389,766.50/24,738.20
  6. Step 6: Final answer
    x = 12,142.75

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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.