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Finding the Fourth Proportional to 20,920.75, 31,379.10 and 7,773.10

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Solution

The fourth proportional to 20,920.75, 31,379.10 and 7,773.10 is: 11,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.75 : 31,379.10 = 7,773.10 : x
  2. Step 2: Convert to fraction form
    20,920.75/31,379.10 = 7,773.10/x
  3. Step 3: Cross multiply
    20,920.75x = 31,379.10 × 7,773.10
  4. Step 4: Simplify right side
    20,920.75x = 243,912,882.21
  5. Step 5: Solve for x
    x = 243,912,882.21/20,920.75
  6. Step 6: Final answer
    x = 11,658.90

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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.