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Finding the Fourth Proportional to 12,574.20, 18,847.52 and 6,324.24

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Solution

The fourth proportional to 12,574.20, 18,847.52 and 6,324.24 is: 9,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.20 : 18,847.52 = 6,324.24 : x
  2. Step 2: Convert to fraction form
    12,574.20/18,847.52 = 6,324.24/x
  3. Step 3: Cross multiply
    12,574.20x = 18,847.52 × 6,324.24
  4. Step 4: Simplify right side
    12,574.20x = 119,196,239.88
  5. Step 5: Solve for x
    x = 119,196,239.88/12,574.20
  6. Step 6: Final answer
    x = 9,479.43

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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.