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Finding the Fourth Proportional to 24,704.14, 37,057.42 and 8,064.16

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Solution

The fourth proportional to 24,704.14, 37,057.42 and 8,064.16 is: 12,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.14 : 37,057.42 = 8,064.16 : x
  2. Step 2: Convert to fraction form
    24,704.14/37,057.42 = 8,064.16/x
  3. Step 3: Cross multiply
    24,704.14x = 37,057.42 × 8,064.16
  4. Step 4: Simplify right side
    24,704.14x = 298,836,964.07
  5. Step 5: Solve for x
    x = 298,836,964.07/24,704.14
  6. Step 6: Final answer
    x = 12,096.63

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1.5x scale

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.