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Finding the Fourth Proportional to 20,511.85, 30,767.93 and 7,364.34

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Solution

The fourth proportional to 20,511.85, 30,767.93 and 7,364.34 is: 11,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.85 : 30,767.93 = 7,364.34 : x
  2. Step 2: Convert to fraction form
    20,511.85/30,767.93 = 7,364.34/x
  3. Step 3: Cross multiply
    20,511.85x = 30,767.93 × 7,364.34
  4. Step 4: Simplify right side
    20,511.85x = 226,585,497.62
  5. Step 5: Solve for x
    x = 226,585,497.62/20,511.85
  6. Step 6: Final answer
    x = 11,046.57

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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.