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Finding the Fourth Proportional to 20,674.67, 31,012 and 5,092.30

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Solution

The fourth proportional to 20,674.67, 31,012 and 5,092.30 is: 7,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.67 : 31,012 = 5,092.30 : x
  2. Step 2: Convert to fraction form
    20,674.67/31,012 = 5,092.30/x
  3. Step 3: Cross multiply
    20,674.67x = 31,012 × 5,092.30
  4. Step 4: Simplify right side
    20,674.67x = 157,922,407.60
  5. Step 5: Solve for x
    x = 157,922,407.60/20,674.67
  6. Step 6: Final answer
    x = 7,638.45

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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.