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Finding the Fourth Proportional to 13,853.62, 20,768.86 and 6,454.27

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Solution

The fourth proportional to 13,853.62, 20,768.86 and 6,454.27 is: 9,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.62 : 20,768.86 = 6,454.27 : x
  2. Step 2: Convert to fraction form
    13,853.62/20,768.86 = 6,454.27/x
  3. Step 3: Cross multiply
    13,853.62x = 20,768.86 × 6,454.27
  4. Step 4: Simplify right side
    13,853.62x = 134,047,830.03
  5. Step 5: Solve for x
    x = 134,047,830.03/13,853.62
  6. Step 6: Final answer
    x = 9,676.01

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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.