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Finding the Fourth Proportional to 24,704.80, 37,063.10 and 8,064.87

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Solution

The fourth proportional to 24,704.80, 37,063.10 and 8,064.87 is: 12,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.80 : 37,063.10 = 8,064.87 : x
  2. Step 2: Convert to fraction form
    24,704.80/37,063.10 = 8,064.87/x
  3. Step 3: Cross multiply
    24,704.80x = 37,063.10 × 8,064.87
  4. Step 4: Simplify right side
    24,704.80x = 298,909,083.30
  5. Step 5: Solve for x
    x = 298,909,083.30/24,704.80
  6. Step 6: Final answer
    x = 12,099.23

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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.