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Finding the Fourth Proportional to 13,768.84, 20,653.08 and 3,380.50

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Solution

The fourth proportional to 13,768.84, 20,653.08 and 3,380.50 is: 5,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.84 : 20,653.08 = 3,380.50 : x
  2. Step 2: Convert to fraction form
    13,768.84/20,653.08 = 3,380.50/x
  3. Step 3: Cross multiply
    13,768.84x = 20,653.08 × 3,380.50
  4. Step 4: Simplify right side
    13,768.84x = 69,817,736.94
  5. Step 5: Solve for x
    x = 69,817,736.94/13,768.84
  6. Step 6: Final answer
    x = 5,070.71

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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.