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Finding the Fourth Proportional to 12,745.05, 17,596.16 and 8,209.76

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Solution

The fourth proportional to 12,745.05, 17,596.16 and 8,209.76 is: 11,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.05 : 17,596.16 = 8,209.76 : x
  2. Step 2: Convert to fraction form
    12,745.05/17,596.16 = 8,209.76/x
  3. Step 3: Cross multiply
    12,745.05x = 17,596.16 × 8,209.76
  4. Step 4: Simplify right side
    12,745.05x = 144,460,175.37
  5. Step 5: Solve for x
    x = 144,460,175.37/12,745.05
  6. Step 6: Final answer
    x = 11,334.61

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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.