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Finding the Fourth Proportional to 12,736.44, 17,582.22 and 8,494.56

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Solution

The fourth proportional to 12,736.44, 17,582.22 and 8,494.56 is: 11,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,736.44 : 17,582.22 = 8,494.56 : x
  2. Step 2: Convert to fraction form
    12,736.44/17,582.22 = 8,494.56/x
  3. Step 3: Cross multiply
    12,736.44x = 17,582.22 × 8,494.56
  4. Step 4: Simplify right side
    12,736.44x = 149,353,222.72
  5. Step 5: Solve for x
    x = 149,353,222.72/12,736.44
  6. Step 6: Final answer
    x = 11,726.45

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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.