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Finding the Fourth Proportional to 12,704.60, 19,056.17 and 3,469.88

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Solution

The fourth proportional to 12,704.60, 19,056.17 and 3,469.88 is: 5,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.60 : 19,056.17 = 3,469.88 : x
  2. Step 2: Convert to fraction form
    12,704.60/19,056.17 = 3,469.88/x
  3. Step 3: Cross multiply
    12,704.60x = 19,056.17 × 3,469.88
  4. Step 4: Simplify right side
    12,704.60x = 66,122,510.53
  5. Step 5: Solve for x
    x = 66,122,510.53/12,704.60
  6. Step 6: Final answer
    x = 5,204.61

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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.