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Finding the Fourth Proportional to 20,199.24, 30,303.77 and 6,348.24

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Solution

The fourth proportional to 20,199.24, 30,303.77 and 6,348.24 is: 9,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.24 : 30,303.77 = 6,348.24 : x
  2. Step 2: Convert to fraction form
    20,199.24/30,303.77 = 6,348.24/x
  3. Step 3: Cross multiply
    20,199.24x = 30,303.77 × 6,348.24
  4. Step 4: Simplify right side
    20,199.24x = 192,375,573.12
  5. Step 5: Solve for x
    x = 192,375,573.12/20,199.24
  6. Step 6: Final answer
    x = 9,523.90

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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.