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Finding the Fourth Proportional to 20,415.80, 30,620.94 and 7,934.63

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Solution

The fourth proportional to 20,415.80, 30,620.94 and 7,934.63 is: 11,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.80 : 30,620.94 = 7,934.63 : x
  2. Step 2: Convert to fraction form
    20,415.80/30,620.94 = 7,934.63/x
  3. Step 3: Cross multiply
    20,415.80x = 30,620.94 × 7,934.63
  4. Step 4: Simplify right side
    20,415.80x = 242,965,676.05
  5. Step 5: Solve for x
    x = 242,965,676.05/20,415.80
  6. Step 6: Final answer
    x = 11,900.87

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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.