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Finding the Fourth Proportional to 13,768.90, 20,653.54 and 3,380.64

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Solution

The fourth proportional to 13,768.90, 20,653.54 and 3,380.64 is: 5,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.90 : 20,653.54 = 3,380.64 : x
  2. Step 2: Convert to fraction form
    13,768.90/20,653.54 = 3,380.64/x
  3. Step 3: Cross multiply
    13,768.90x = 20,653.54 × 3,380.64
  4. Step 4: Simplify right side
    13,768.90x = 69,822,183.47
  5. Step 5: Solve for x
    x = 69,822,183.47/13,768.90
  6. Step 6: Final answer
    x = 5,071.01

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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.