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Finding the Fourth Proportional to 13,797.83, 20,691.06 and 5,476.70

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Solution

The fourth proportional to 13,797.83, 20,691.06 and 5,476.70 is: 8,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.83 : 20,691.06 = 5,476.70 : x
  2. Step 2: Convert to fraction form
    13,797.83/20,691.06 = 5,476.70/x
  3. Step 3: Cross multiply
    13,797.83x = 20,691.06 × 5,476.70
  4. Step 4: Simplify right side
    13,797.83x = 113,318,624.85
  5. Step 5: Solve for x
    x = 113,318,624.85/13,797.83
  6. Step 6: Final answer
    x = 8,212.79

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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.