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Finding the Fourth Proportional to 13,819.80, 20,716.28 and 5,924.37

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Solution

The fourth proportional to 13,819.80, 20,716.28 and 5,924.37 is: 8,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.80 : 20,716.28 = 5,924.37 : x
  2. Step 2: Convert to fraction form
    13,819.80/20,716.28 = 5,924.37/x
  3. Step 3: Cross multiply
    13,819.80x = 20,716.28 × 5,924.37
  4. Step 4: Simplify right side
    13,819.80x = 122,730,907.74
  5. Step 5: Solve for x
    x = 122,730,907.74/13,819.80
  6. Step 6: Final answer
    x = 8,880.80

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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.