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Finding the Fourth Proportional to 13,181.92, 19,777.43 and 8,245.67

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Solution

The fourth proportional to 13,181.92, 19,777.43 and 8,245.67 is: 12,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.92 : 19,777.43 = 8,245.67 : x
  2. Step 2: Convert to fraction form
    13,181.92/19,777.43 = 8,245.67/x
  3. Step 3: Cross multiply
    13,181.92x = 19,777.43 × 8,245.67
  4. Step 4: Simplify right side
    13,181.92x = 163,078,161.23
  5. Step 5: Solve for x
    x = 163,078,161.23/13,181.92
  6. Step 6: Final answer
    x = 12,371.35

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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.