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Finding the Fourth Proportional to 12,576.68, 18,869.12 and 6,002.02

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Solution

The fourth proportional to 12,576.68, 18,869.12 and 6,002.02 is: 9,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.68 : 18,869.12 = 6,002.02 : x
  2. Step 2: Convert to fraction form
    12,576.68/18,869.12 = 6,002.02/x
  3. Step 3: Cross multiply
    12,576.68x = 18,869.12 × 6,002.02
  4. Step 4: Simplify right side
    12,576.68x = 113,252,835.62
  5. Step 5: Solve for x
    x = 113,252,835.62/12,576.68
  6. Step 6: Final answer
    x = 9,004.99

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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.