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Finding the Fourth Proportional to 13,383.45, 20,075.12 and 4,023.43

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Solution

The fourth proportional to 13,383.45, 20,075.12 and 4,023.43 is: 6,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.45 : 20,075.12 = 4,023.43 : x
  2. Step 2: Convert to fraction form
    13,383.45/20,075.12 = 4,023.43/x
  3. Step 3: Cross multiply
    13,383.45x = 20,075.12 × 4,023.43
  4. Step 4: Simplify right side
    13,383.45x = 80,770,719.57
  5. Step 5: Solve for x
    x = 80,770,719.57/13,383.45
  6. Step 6: Final answer
    x = 6,035.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.