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Finding the Fourth Proportional to 13,136.50, 19,704.75 and 3,902.50

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Solution

The fourth proportional to 13,136.50, 19,704.75 and 3,902.50 is: 5,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.50 : 19,704.75 = 3,902.50 : x
  2. Step 2: Convert to fraction form
    13,136.50/19,704.75 = 3,902.50/x
  3. Step 3: Cross multiply
    13,136.50x = 19,704.75 × 3,902.50
  4. Step 4: Simplify right side
    13,136.50x = 76,897,786.88
  5. Step 5: Solve for x
    x = 76,897,786.88/13,136.50
  6. Step 6: Final answer
    x = 5,853.75

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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.