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Finding the Fourth Proportional to 12,571.65, 18,846.32 and 6,323.49

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Solution

The fourth proportional to 12,571.65, 18,846.32 and 6,323.49 is: 9,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.65 : 18,846.32 = 6,323.49 : x
  2. Step 2: Convert to fraction form
    12,571.65/18,846.32 = 6,323.49/x
  3. Step 3: Cross multiply
    12,571.65x = 18,846.32 × 6,323.49
  4. Step 4: Simplify right side
    12,571.65x = 119,174,484.44
  5. Step 5: Solve for x
    x = 119,174,484.44/12,571.65
  6. Step 6: Final answer
    x = 9,479.62

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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.