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Finding the Fourth Proportional to 12,181.56, 18,264.83 and 4,782.67

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Solution

The fourth proportional to 12,181.56, 18,264.83 and 4,782.67 is: 7,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.56 : 18,264.83 = 4,782.67 : x
  2. Step 2: Convert to fraction form
    12,181.56/18,264.83 = 4,782.67/x
  3. Step 3: Cross multiply
    12,181.56x = 18,264.83 × 4,782.67
  4. Step 4: Simplify right side
    12,181.56x = 87,354,613.73
  5. Step 5: Solve for x
    x = 87,354,613.73/12,181.56
  6. Step 6: Final answer
    x = 7,171.05

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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.