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Finding the Fourth Proportional to 20,674.85, 31,012.34 and 5,092.47

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Solution

The fourth proportional to 20,674.85, 31,012.34 and 5,092.47 is: 7,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.85 : 31,012.34 = 5,092.47 : x
  2. Step 2: Convert to fraction form
    20,674.85/31,012.34 = 5,092.47/x
  3. Step 3: Cross multiply
    20,674.85x = 31,012.34 × 5,092.47
  4. Step 4: Simplify right side
    20,674.85x = 157,929,385.62
  5. Step 5: Solve for x
    x = 157,929,385.62/20,674.85
  6. Step 6: Final answer
    x = 7,638.72

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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.