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Finding the Fourth Proportional to 13,794.50, 20,684.46 and 5,999.06

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Solution

The fourth proportional to 13,794.50, 20,684.46 and 5,999.06 is: 8,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.50 : 20,684.46 = 5,999.06 : x
  2. Step 2: Convert to fraction form
    13,794.50/20,684.46 = 5,999.06/x
  3. Step 3: Cross multiply
    13,794.50x = 20,684.46 × 5,999.06
  4. Step 4: Simplify right side
    13,794.50x = 124,087,390.82
  5. Step 5: Solve for x
    x = 124,087,390.82/13,794.50
  6. Step 6: Final answer
    x = 8,995.42

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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.