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Finding the Fourth Proportional to 12,469.20, 18,704.64 and 5,073.60

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Solution

The fourth proportional to 12,469.20, 18,704.64 and 5,073.60 is: 7,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.20 : 18,704.64 = 5,073.60 : x
  2. Step 2: Convert to fraction form
    12,469.20/18,704.64 = 5,073.60/x
  3. Step 3: Cross multiply
    12,469.20x = 18,704.64 × 5,073.60
  4. Step 4: Simplify right side
    12,469.20x = 94,899,861.50
  5. Step 5: Solve for x
    x = 94,899,861.50/12,469.20
  6. Step 6: Final answer
    x = 7,610.74

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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.