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Finding the Fourth Proportional to 13,384.50, 20,080.79 and 4,498.80

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Solution

The fourth proportional to 13,384.50, 20,080.79 and 4,498.80 is: 6,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.50 : 20,080.79 = 4,498.80 : x
  2. Step 2: Convert to fraction form
    13,384.50/20,080.79 = 4,498.80/x
  3. Step 3: Cross multiply
    13,384.50x = 20,080.79 × 4,498.80
  4. Step 4: Simplify right side
    13,384.50x = 90,339,458.05
  5. Step 5: Solve for x
    x = 90,339,458.05/13,384.50
  6. Step 6: Final answer
    x = 6,749.56

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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.