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Finding the Fourth Proportional to 13,493.67, 20,226.65 and 5,171.43

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Solution

The fourth proportional to 13,493.67, 20,226.65 and 5,171.43 is: 7,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.67 : 20,226.65 = 5,171.43 : x
  2. Step 2: Convert to fraction form
    13,493.67/20,226.65 = 5,171.43/x
  3. Step 3: Cross multiply
    13,493.67x = 20,226.65 × 5,171.43
  4. Step 4: Simplify right side
    13,493.67x = 104,600,678.75
  5. Step 5: Solve for x
    x = 104,600,678.75/13,493.67
  6. Step 6: Final answer
    x = 7,751.83

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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.