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Finding the Fourth Proportional to 12,408.20, 18,612.30 and 9,783.80

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Solution

The fourth proportional to 12,408.20, 18,612.30 and 9,783.80 is: 14,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.20 : 18,612.30 = 9,783.80 : x
  2. Step 2: Convert to fraction form
    12,408.20/18,612.30 = 9,783.80/x
  3. Step 3: Cross multiply
    12,408.20x = 18,612.30 × 9,783.80
  4. Step 4: Simplify right side
    12,408.20x = 182,099,020.74
  5. Step 5: Solve for x
    x = 182,099,020.74/12,408.20
  6. Step 6: Final answer
    x = 14,675.70

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