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Finding the Fourth Proportional to 13,595, 20,393.08 and 3,735.24

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Solution

The fourth proportional to 13,595, 20,393.08 and 3,735.24 is: 5,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,595 : 20,393.08 = 3,735.24 : x
  2. Step 2: Convert to fraction form
    13,595/20,393.08 = 3,735.24/x
  3. Step 3: Cross multiply
    13,595x = 20,393.08 × 3,735.24
  4. Step 4: Simplify right side
    13,595x = 76,173,048.14
  5. Step 5: Solve for x
    x = 76,173,048.14/13,595
  6. Step 6: Final answer
    x = 5,603.02

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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.