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Finding the Fourth Proportional to 24,379.65, 36,571.77 and 6,849.41

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Solution

The fourth proportional to 24,379.65, 36,571.77 and 6,849.41 is: 10,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.65 : 36,571.77 = 6,849.41 : x
  2. Step 2: Convert to fraction form
    24,379.65/36,571.77 = 6,849.41/x
  3. Step 3: Cross multiply
    24,379.65x = 36,571.77 × 6,849.41
  4. Step 4: Simplify right side
    24,379.65x = 250,494,864.30
  5. Step 5: Solve for x
    x = 250,494,864.30/24,379.65
  6. Step 6: Final answer
    x = 10,274.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.