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Finding the Fourth Proportional to 13,675, 20,514.48 and 4,311.84

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Solution

The fourth proportional to 13,675, 20,514.48 and 4,311.84 is: 6,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675 : 20,514.48 = 4,311.84 : x
  2. Step 2: Convert to fraction form
    13,675/20,514.48 = 4,311.84/x
  3. Step 3: Cross multiply
    13,675x = 20,514.48 × 4,311.84
  4. Step 4: Simplify right side
    13,675x = 88,455,155.44
  5. Step 5: Solve for x
    x = 88,455,155.44/13,675
  6. Step 6: Final answer
    x = 6,468.38

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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.