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Finding the Fourth Proportional to 12,785.99, 17,650.12 and 8,596.67

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Solution

The fourth proportional to 12,785.99, 17,650.12 and 8,596.67 is: 11,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.99 : 17,650.12 = 8,596.67 : x
  2. Step 2: Convert to fraction form
    12,785.99/17,650.12 = 8,596.67/x
  3. Step 3: Cross multiply
    12,785.99x = 17,650.12 × 8,596.67
  4. Step 4: Simplify right side
    12,785.99x = 151,732,163.48
  5. Step 5: Solve for x
    x = 151,732,163.48/12,785.99
  6. Step 6: Final answer
    x = 11,867.07

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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.