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Finding the Fourth Proportional to 13,375.20, 20,064 and 3,514.32

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Solution

The fourth proportional to 13,375.20, 20,064 and 3,514.32 is: 5,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.20 : 20,064 = 3,514.32 : x
  2. Step 2: Convert to fraction form
    13,375.20/20,064 = 3,514.32/x
  3. Step 3: Cross multiply
    13,375.20x = 20,064 × 3,514.32
  4. Step 4: Simplify right side
    13,375.20x = 70,511,316.48
  5. Step 5: Solve for x
    x = 70,511,316.48/13,375.20
  6. Step 6: Final answer
    x = 5,271.80

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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.