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Finding the Fourth Proportional to 12,581.73, 17,362.35 and 8,105.67

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Solution

The fourth proportional to 12,581.73, 17,362.35 and 8,105.67 is: 11,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.73 : 17,362.35 = 8,105.67 : x
  2. Step 2: Convert to fraction form
    12,581.73/17,362.35 = 8,105.67/x
  3. Step 3: Cross multiply
    12,581.73x = 17,362.35 × 8,105.67
  4. Step 4: Simplify right side
    12,581.73x = 140,733,479.52
  5. Step 5: Solve for x
    x = 140,733,479.52/12,581.73
  6. Step 6: Final answer
    x = 11,185.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.