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Finding the Fourth Proportional to 20,170.35, 30,255.27 and 9,069.20

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Solution

The fourth proportional to 20,170.35, 30,255.27 and 9,069.20 is: 13,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.35 : 30,255.27 = 9,069.20 : x
  2. Step 2: Convert to fraction form
    20,170.35/30,255.27 = 9,069.20/x
  3. Step 3: Cross multiply
    20,170.35x = 30,255.27 × 9,069.20
  4. Step 4: Simplify right side
    20,170.35x = 274,391,022.86
  5. Step 5: Solve for x
    x = 274,391,022.86/20,170.35
  6. Step 6: Final answer
    x = 13,603.68

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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.