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Finding the Fourth Proportional to 12,447.64, 18,675.09 and 3,682.77

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Solution

The fourth proportional to 12,447.64, 18,675.09 and 3,682.77 is: 5,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.64 : 18,675.09 = 3,682.77 : x
  2. Step 2: Convert to fraction form
    12,447.64/18,675.09 = 3,682.77/x
  3. Step 3: Cross multiply
    12,447.64x = 18,675.09 × 3,682.77
  4. Step 4: Simplify right side
    12,447.64x = 68,775,991.17
  5. Step 5: Solve for x
    x = 68,775,991.17/12,447.64
  6. Step 6: Final answer
    x = 5,525.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.