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Finding the Fourth Proportional to 24,713.45, 37,074.97 and 8,069.02

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Solution

The fourth proportional to 24,713.45, 37,074.97 and 8,069.02 is: 12,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.45 : 37,074.97 = 8,069.02 : x
  2. Step 2: Convert to fraction form
    24,713.45/37,074.97 = 8,069.02/x
  3. Step 3: Cross multiply
    24,713.45x = 37,074.97 × 8,069.02
  4. Step 4: Simplify right side
    24,713.45x = 299,158,546.44
  5. Step 5: Solve for x
    x = 299,158,546.44/24,713.45
  6. Step 6: Final answer
    x = 12,105.09

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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.