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Finding the Fourth Proportional to 13,832.68, 20,721.42 and 6,427.08

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Solution

The fourth proportional to 13,832.68, 20,721.42 and 6,427.08 is: 9,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.68 : 20,721.42 = 6,427.08 : x
  2. Step 2: Convert to fraction form
    13,832.68/20,721.42 = 6,427.08/x
  3. Step 3: Cross multiply
    13,832.68x = 20,721.42 × 6,427.08
  4. Step 4: Simplify right side
    13,832.68x = 133,178,224.05
  5. Step 5: Solve for x
    x = 133,178,224.05/13,832.68
  6. Step 6: Final answer
    x = 9,627.80

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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.