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Finding the Fourth Proportional to 20,419.88, 30,629.84 and 8,107.88

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Solution

The fourth proportional to 20,419.88, 30,629.84 and 8,107.88 is: 12,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.88 : 30,629.84 = 8,107.88 : x
  2. Step 2: Convert to fraction form
    20,419.88/30,629.84 = 8,107.88/x
  3. Step 3: Cross multiply
    20,419.88x = 30,629.84 × 8,107.88
  4. Step 4: Simplify right side
    20,419.88x = 248,342,873.45
  5. Step 5: Solve for x
    x = 248,342,873.45/20,419.88
  6. Step 6: Final answer
    x = 12,161.82

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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.