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Finding the Fourth Proportional to 24,614.69, 36,912.92 and 8,815.37

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Solution

The fourth proportional to 24,614.69, 36,912.92 and 8,815.37 is: 13,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614.69 : 36,912.92 = 8,815.37 : x
  2. Step 2: Convert to fraction form
    24,614.69/36,912.92 = 8,815.37/x
  3. Step 3: Cross multiply
    24,614.69x = 36,912.92 × 8,815.37
  4. Step 4: Simplify right side
    24,614.69x = 325,400,818.94
  5. Step 5: Solve for x
    x = 325,400,818.94/24,614.69
  6. Step 6: Final answer
    x = 13,219.78

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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.