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Finding the Fourth Proportional to 20,676.68, 31,017.14 and 6,633.24

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Solution

The fourth proportional to 20,676.68, 31,017.14 and 6,633.24 is: 9,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.68 : 31,017.14 = 6,633.24 : x
  2. Step 2: Convert to fraction form
    20,676.68/31,017.14 = 6,633.24/x
  3. Step 3: Cross multiply
    20,676.68x = 31,017.14 × 6,633.24
  4. Step 4: Simplify right side
    20,676.68x = 205,744,133.73
  5. Step 5: Solve for x
    x = 205,744,133.73/20,676.68
  6. Step 6: Final answer
    x = 9,950.54

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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.