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Finding the Fourth Proportional to 20,262.75, 30,377.71 and 7,776.39

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Solution

The fourth proportional to 20,262.75, 30,377.71 and 7,776.39 is: 11,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.75 : 30,377.71 = 7,776.39 : x
  2. Step 2: Convert to fraction form
    20,262.75/30,377.71 = 7,776.39/x
  3. Step 3: Cross multiply
    20,262.75x = 30,377.71 × 7,776.39
  4. Step 4: Simplify right side
    20,262.75x = 236,228,920.27
  5. Step 5: Solve for x
    x = 236,228,920.27/20,262.75
  6. Step 6: Final answer
    x = 11,658.29

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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.