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Finding the Fourth Proportional to 30,994.96, 42,772.80 and 16,847.44

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Solution

The fourth proportional to 30,994.96, 42,772.80 and 16,847.44 is: 23,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.96 : 42,772.80 = 16,847.44 : x
  2. Step 2: Convert to fraction form
    30,994.96/42,772.80 = 16,847.44/x
  3. Step 3: Cross multiply
    30,994.96x = 42,772.80 × 16,847.44
  4. Step 4: Simplify right side
    30,994.96x = 720,612,181.63
  5. Step 5: Solve for x
    x = 720,612,181.63/30,994.96
  6. Step 6: Final answer
    x = 23,249.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.