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Finding the Fourth Proportional to 12,576.46, 18,866.64 and 3,809.29

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Solution

The fourth proportional to 12,576.46, 18,866.64 and 3,809.29 is: 5,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.46 : 18,866.64 = 3,809.29 : x
  2. Step 2: Convert to fraction form
    12,576.46/18,866.64 = 3,809.29/x
  3. Step 3: Cross multiply
    12,576.46x = 18,866.64 × 3,809.29
  4. Step 4: Simplify right side
    12,576.46x = 71,868,503.09
  5. Step 5: Solve for x
    x = 71,868,503.09/12,576.46
  6. Step 6: Final answer
    x = 5,714.53

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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.