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Finding the Fourth Proportional to 13,383.50, 20,074.47 and 4,023.31

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Solution

The fourth proportional to 13,383.50, 20,074.47 and 4,023.31 is: 6,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.50 : 20,074.47 = 4,023.31 : x
  2. Step 2: Convert to fraction form
    13,383.50/20,074.47 = 4,023.31/x
  3. Step 3: Cross multiply
    13,383.50x = 20,074.47 × 4,023.31
  4. Step 4: Simplify right side
    13,383.50x = 80,765,788.26
  5. Step 5: Solve for x
    x = 80,765,788.26/13,383.50
  6. Step 6: Final answer
    x = 6,034.73

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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.