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Finding the Fourth Proportional to 13,768.57, 20,652.86 and 3,380.32

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Solution

The fourth proportional to 13,768.57, 20,652.86 and 3,380.32 is: 5,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.57 : 20,652.86 = 3,380.32 : x
  2. Step 2: Convert to fraction form
    13,768.57/20,652.86 = 3,380.32/x
  3. Step 3: Cross multiply
    13,768.57x = 20,652.86 × 3,380.32
  4. Step 4: Simplify right side
    13,768.57x = 69,813,275.72
  5. Step 5: Solve for x
    x = 69,813,275.72/13,768.57
  6. Step 6: Final answer
    x = 5,070.48

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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.