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Finding the Fourth Proportional to 18,782.08, 25,918.38 and 10,824.44

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Solution

The fourth proportional to 18,782.08, 25,918.38 and 10,824.44 is: 14,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.08 : 25,918.38 = 10,824.44 : x
  2. Step 2: Convert to fraction form
    18,782.08/25,918.38 = 10,824.44/x
  3. Step 3: Cross multiply
    18,782.08x = 25,918.38 × 10,824.44
  4. Step 4: Simplify right side
    18,782.08x = 280,551,819.62
  5. Step 5: Solve for x
    x = 280,551,819.62/18,782.08
  6. Step 6: Final answer
    x = 14,937.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.