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Finding the Fourth Proportional to 13,691.84, 20,535.30 and 3,832.11

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Solution

The fourth proportional to 13,691.84, 20,535.30 and 3,832.11 is: 5,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.84 : 20,535.30 = 3,832.11 : x
  2. Step 2: Convert to fraction form
    13,691.84/20,535.30 = 3,832.11/x
  3. Step 3: Cross multiply
    13,691.84x = 20,535.30 × 3,832.11
  4. Step 4: Simplify right side
    13,691.84x = 78,693,528.48
  5. Step 5: Solve for x
    x = 78,693,528.48/13,691.84
  6. Step 6: Final answer
    x = 5,747.48

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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.