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Finding the Fourth Proportional to 22,784.94, 34,177.62 and 7,994.20

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Solution

The fourth proportional to 22,784.94, 34,177.62 and 7,994.20 is: 11,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.94 : 34,177.62 = 7,994.20 : x
  2. Step 2: Convert to fraction form
    22,784.94/34,177.62 = 7,994.20/x
  3. Step 3: Cross multiply
    22,784.94x = 34,177.62 × 7,994.20
  4. Step 4: Simplify right side
    22,784.94x = 273,222,729.80
  5. Step 5: Solve for x
    x = 273,222,729.80/22,784.94
  6. Step 6: Final answer
    x = 11,991.37

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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.