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Finding the Fourth Proportional to 20,650.82, 30,977.41 and 5,858.58

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Solution

The fourth proportional to 20,650.82, 30,977.41 and 5,858.58 is: 8,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.82 : 30,977.41 = 5,858.58 : x
  2. Step 2: Convert to fraction form
    20,650.82/30,977.41 = 5,858.58/x
  3. Step 3: Cross multiply
    20,650.82x = 30,977.41 × 5,858.58
  4. Step 4: Simplify right side
    20,650.82x = 181,483,589.41
  5. Step 5: Solve for x
    x = 181,483,589.41/20,650.82
  6. Step 6: Final answer
    x = 8,788.20

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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.