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Finding the Fourth Proportional to 13,832.28, 20,746.08 and 3,969

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Solution

The fourth proportional to 13,832.28, 20,746.08 and 3,969 is: 5,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.28 : 20,746.08 = 3,969 : x
  2. Step 2: Convert to fraction form
    13,832.28/20,746.08 = 3,969/x
  3. Step 3: Cross multiply
    13,832.28x = 20,746.08 × 3,969
  4. Step 4: Simplify right side
    13,832.28x = 82,341,191.52
  5. Step 5: Solve for x
    x = 82,341,191.52/13,832.28
  6. Step 6: Final answer
    x = 5,952.83

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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.