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Finding the Fourth Proportional to 12,255.80, 18,383.70 and 6,414.20

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Solution

The fourth proportional to 12,255.80, 18,383.70 and 6,414.20 is: 9,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.80 : 18,383.70 = 6,414.20 : x
  2. Step 2: Convert to fraction form
    12,255.80/18,383.70 = 6,414.20/x
  3. Step 3: Cross multiply
    12,255.80x = 18,383.70 × 6,414.20
  4. Step 4: Simplify right side
    12,255.80x = 117,916,728.54
  5. Step 5: Solve for x
    x = 117,916,728.54/12,255.80
  6. Step 6: Final answer
    x = 9,621.30

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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.