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Finding the Fourth Proportional to 8,149.70, 12,224.55 and 1,993.70

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Solution

The fourth proportional to 8,149.70, 12,224.55 and 1,993.70 is: 2,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.70 : 12,224.55 = 1,993.70 : x
  2. Step 2: Convert to fraction form
    8,149.70/12,224.55 = 1,993.70/x
  3. Step 3: Cross multiply
    8,149.70x = 12,224.55 × 1,993.70
  4. Step 4: Simplify right side
    8,149.70x = 24,372,085.34
  5. Step 5: Solve for x
    x = 24,372,085.34/8,149.70
  6. Step 6: Final answer
    x = 2,990.55

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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.