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Finding the Fourth Proportional to 12,576.32, 18,846.96 and 9,452.69

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Solution

The fourth proportional to 12,576.32, 18,846.96 and 9,452.69 is: 14,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.32 : 18,846.96 = 9,452.69 : x
  2. Step 2: Convert to fraction form
    12,576.32/18,846.96 = 9,452.69/x
  3. Step 3: Cross multiply
    12,576.32x = 18,846.96 × 9,452.69
  4. Step 4: Simplify right side
    12,576.32x = 178,154,387.90
  5. Step 5: Solve for x
    x = 178,154,387.90/12,576.32
  6. Step 6: Final answer
    x = 14,165.86

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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.