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Finding the Fourth Proportional to 12,674.20, 19,016.70 and 7,997.80

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Solution

The fourth proportional to 12,674.20, 19,016.70 and 7,997.80 is: 12,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.20 : 19,016.70 = 7,997.80 : x
  2. Step 2: Convert to fraction form
    12,674.20/19,016.70 = 7,997.80/x
  3. Step 3: Cross multiply
    12,674.20x = 19,016.70 × 7,997.80
  4. Step 4: Simplify right side
    12,674.20x = 152,091,763.26
  5. Step 5: Solve for x
    x = 152,091,763.26/12,674.20
  6. Step 6: Final answer
    x = 12,000.11

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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.