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Finding the Fourth Proportional to 13,383.68, 20,075.34 and 4,149.68

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Solution

The fourth proportional to 13,383.68, 20,075.34 and 4,149.68 is: 6,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.68 : 20,075.34 = 4,149.68 : x
  2. Step 2: Convert to fraction form
    13,383.68/20,075.34 = 4,149.68/x
  3. Step 3: Cross multiply
    13,383.68x = 20,075.34 × 4,149.68
  4. Step 4: Simplify right side
    13,383.68x = 83,306,236.89
  5. Step 5: Solve for x
    x = 83,306,236.89/13,383.68
  6. Step 6: Final answer
    x = 6,224.46

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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.