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Finding the Fourth Proportional to 13,820.33, 20,734.07 and 3,960.33

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Solution

The fourth proportional to 13,820.33, 20,734.07 and 3,960.33 is: 5,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.33 : 20,734.07 = 3,960.33 : x
  2. Step 2: Convert to fraction form
    13,820.33/20,734.07 = 3,960.33/x
  3. Step 3: Cross multiply
    13,820.33x = 20,734.07 × 3,960.33
  4. Step 4: Simplify right side
    13,820.33x = 82,113,739.64
  5. Step 5: Solve for x
    x = 82,113,739.64/13,820.33
  6. Step 6: Final answer
    x = 5,941.52

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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.