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Finding the Fourth Proportional to 13,855.26, 20,782.74 and 3,467.01

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Solution

The fourth proportional to 13,855.26, 20,782.74 and 3,467.01 is: 5,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.26 : 20,782.74 = 3,467.01 : x
  2. Step 2: Convert to fraction form
    13,855.26/20,782.74 = 3,467.01/x
  3. Step 3: Cross multiply
    13,855.26x = 20,782.74 × 3,467.01
  4. Step 4: Simplify right side
    13,855.26x = 72,053,967.41
  5. Step 5: Solve for x
    x = 72,053,967.41/13,855.26
  6. Step 6: Final answer
    x = 5,200.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.