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Finding the Fourth Proportional to 19,982.12, 29,990.46 and 7,678.76

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Solution

The fourth proportional to 19,982.12, 29,990.46 and 7,678.76 is: 11,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.12 : 29,990.46 = 7,678.76 : x
  2. Step 2: Convert to fraction form
    19,982.12/29,990.46 = 7,678.76/x
  3. Step 3: Cross multiply
    19,982.12x = 29,990.46 × 7,678.76
  4. Step 4: Simplify right side
    19,982.12x = 230,289,544.63
  5. Step 5: Solve for x
    x = 230,289,544.63/19,982.12
  6. Step 6: Final answer
    x = 11,524.78

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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.