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Finding the Fourth Proportional to 12,786.58, 17,650.94 and 8,597.26

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Solution

The fourth proportional to 12,786.58, 17,650.94 and 8,597.26 is: 11,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.58 : 17,650.94 = 8,597.26 : x
  2. Step 2: Convert to fraction form
    12,786.58/17,650.94 = 8,597.26/x
  3. Step 3: Cross multiply
    12,786.58x = 17,650.94 × 8,597.26
  4. Step 4: Simplify right side
    12,786.58x = 151,749,720.42
  5. Step 5: Solve for x
    x = 151,749,720.42/12,786.58
  6. Step 6: Final answer
    x = 11,867.89

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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.