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Finding the Fourth Proportional to 13,636.42, 20,454.88 and 4,276.23

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Solution

The fourth proportional to 13,636.42, 20,454.88 and 4,276.23 is: 6,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.42 : 20,454.88 = 4,276.23 : x
  2. Step 2: Convert to fraction form
    13,636.42/20,454.88 = 4,276.23/x
  3. Step 3: Cross multiply
    13,636.42x = 20,454.88 × 4,276.23
  4. Step 4: Simplify right side
    13,636.42x = 87,469,771.50
  5. Step 5: Solve for x
    x = 87,469,771.50/13,636.42
  6. Step 6: Final answer
    x = 6,414.42

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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.