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Finding the Fourth Proportional to 20,680.75, 31,021.44 and 5,098.38

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Solution

The fourth proportional to 20,680.75, 31,021.44 and 5,098.38 is: 7,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680.75 : 31,021.44 = 5,098.38 : x
  2. Step 2: Convert to fraction form
    20,680.75/31,021.44 = 5,098.38/x
  3. Step 3: Cross multiply
    20,680.75x = 31,021.44 × 5,098.38
  4. Step 4: Simplify right side
    20,680.75x = 158,159,089.27
  5. Step 5: Solve for x
    x = 158,159,089.27/20,680.75
  6. Step 6: Final answer
    x = 7,647.65

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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.