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Finding the Fourth Proportional to 24,738.16, 37,106 and 8,096

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Solution

The fourth proportional to 24,738.16, 37,106 and 8,096 is: 12,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.16 : 37,106 = 8,096 : x
  2. Step 2: Convert to fraction form
    24,738.16/37,106 = 8,096/x
  3. Step 3: Cross multiply
    24,738.16x = 37,106 × 8,096
  4. Step 4: Simplify right side
    24,738.16x = 300,410,176
  5. Step 5: Solve for x
    x = 300,410,176/24,738.16
  6. Step 6: Final answer
    x = 12,143.59

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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.