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Finding the Fourth Proportional to 13,872.56, 20,797.32 and 6,473.12

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Solution

The fourth proportional to 13,872.56, 20,797.32 and 6,473.12 is: 9,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.56 : 20,797.32 = 6,473.12 : x
  2. Step 2: Convert to fraction form
    13,872.56/20,797.32 = 6,473.12/x
  3. Step 3: Cross multiply
    13,872.56x = 20,797.32 × 6,473.12
  4. Step 4: Simplify right side
    13,872.56x = 134,623,548.04
  5. Step 5: Solve for x
    x = 134,623,548.04/13,872.56
  6. Step 6: Final answer
    x = 9,704.30

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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.