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Finding the Fourth Proportional to 30,994.75, 42,772.56 and 16,847.60

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Solution

The fourth proportional to 30,994.75, 42,772.56 and 16,847.60 is: 23,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.75 : 42,772.56 = 16,847.60 : x
  2. Step 2: Convert to fraction form
    30,994.75/42,772.56 = 16,847.60/x
  3. Step 3: Cross multiply
    30,994.75x = 42,772.56 × 16,847.60
  4. Step 4: Simplify right side
    30,994.75x = 720,614,704.81
  5. Step 5: Solve for x
    x = 720,614,704.81/30,994.75
  6. Step 6: Final answer
    x = 23,249.57

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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.