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Finding the Fourth Proportional to 13,768.68, 20,652.66 and 3,380.16

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Solution

The fourth proportional to 13,768.68, 20,652.66 and 3,380.16 is: 5,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.68 : 20,652.66 = 3,380.16 : x
  2. Step 2: Convert to fraction form
    13,768.68/20,652.66 = 3,380.16/x
  3. Step 3: Cross multiply
    13,768.68x = 20,652.66 × 3,380.16
  4. Step 4: Simplify right side
    13,768.68x = 69,809,295.23
  5. Step 5: Solve for x
    x = 69,809,295.23/13,768.68
  6. Step 6: Final answer
    x = 5,070.15

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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.