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Finding the Fourth Proportional to 20,184.60, 30,219.30 and 12,408.60

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Solution

The fourth proportional to 20,184.60, 30,219.30 and 12,408.60 is: 18,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.60 : 30,219.30 = 12,408.60 : x
  2. Step 2: Convert to fraction form
    20,184.60/30,219.30 = 12,408.60/x
  3. Step 3: Cross multiply
    20,184.60x = 30,219.30 × 12,408.60
  4. Step 4: Simplify right side
    20,184.60x = 374,979,205.98
  5. Step 5: Solve for x
    x = 374,979,205.98/20,184.60
  6. Step 6: Final answer
    x = 18,577.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.