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Finding the Fourth Proportional to 12,576.27, 18,866.36 and 3,809.10

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Solution

The fourth proportional to 12,576.27, 18,866.36 and 3,809.10 is: 5,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.27 : 18,866.36 = 3,809.10 : x
  2. Step 2: Convert to fraction form
    12,576.27/18,866.36 = 3,809.10/x
  3. Step 3: Cross multiply
    12,576.27x = 18,866.36 × 3,809.10
  4. Step 4: Simplify right side
    12,576.27x = 71,863,851.88
  5. Step 5: Solve for x
    x = 71,863,851.88/12,576.27
  6. Step 6: Final answer
    x = 5,714.24

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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.