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Finding the Fourth Proportional to 30,212.80, 41,692.46 and 16,783.40

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Solution

The fourth proportional to 30,212.80, 41,692.46 and 16,783.40 is: 23,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.80 : 41,692.46 = 16,783.40 : x
  2. Step 2: Convert to fraction form
    30,212.80/41,692.46 = 16,783.40/x
  3. Step 3: Cross multiply
    30,212.80x = 41,692.46 × 16,783.40
  4. Step 4: Simplify right side
    30,212.80x = 699,741,253.48
  5. Step 5: Solve for x
    x = 699,741,253.48/30,212.80
  6. Step 6: Final answer
    x = 23,160.43

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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.