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Finding the Fourth Proportional to 12,544.08, 18,814 and 3,776.96

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Solution

The fourth proportional to 12,544.08, 18,814 and 3,776.96 is: 5,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.08 : 18,814 = 3,776.96 : x
  2. Step 2: Convert to fraction form
    12,544.08/18,814 = 3,776.96/x
  3. Step 3: Cross multiply
    12,544.08x = 18,814 × 3,776.96
  4. Step 4: Simplify right side
    12,544.08x = 71,059,725.44
  5. Step 5: Solve for x
    x = 71,059,725.44/12,544.08
  6. Step 6: Final answer
    x = 5,664.80

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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.