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Finding the Fourth Proportional to 20,675.85, 31,013.84 and 5,093.47

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Solution

The fourth proportional to 20,675.85, 31,013.84 and 5,093.47 is: 7,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.85 : 31,013.84 = 5,093.47 : x
  2. Step 2: Convert to fraction form
    20,675.85/31,013.84 = 5,093.47/x
  3. Step 3: Cross multiply
    20,675.85x = 31,013.84 × 5,093.47
  4. Step 4: Simplify right side
    20,675.85x = 157,968,063.62
  5. Step 5: Solve for x
    x = 157,968,063.62/20,675.85
  6. Step 6: Final answer
    x = 7,640.22

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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.