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Finding the Fourth Proportional to 30,994.42, 42,772.56 and 16,847.26

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Solution

The fourth proportional to 30,994.42, 42,772.56 and 16,847.26 is: 23,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.42 : 42,772.56 = 16,847.26 : x
  2. Step 2: Convert to fraction form
    30,994.42/42,772.56 = 16,847.26/x
  3. Step 3: Cross multiply
    30,994.42x = 42,772.56 × 16,847.26
  4. Step 4: Simplify right side
    30,994.42x = 720,600,439.19
  5. Step 5: Solve for x
    x = 720,600,439.19/30,994.42
  6. Step 6: Final answer
    x = 23,249.36

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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.