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Finding the Fourth Proportional to 13,584.31, 20,379.53 and 4,819.23

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Solution

The fourth proportional to 13,584.31, 20,379.53 and 4,819.23 is: 7,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.31 : 20,379.53 = 4,819.23 : x
  2. Step 2: Convert to fraction form
    13,584.31/20,379.53 = 4,819.23/x
  3. Step 3: Cross multiply
    13,584.31x = 20,379.53 × 4,819.23
  4. Step 4: Simplify right side
    13,584.31x = 98,213,654.41
  5. Step 5: Solve for x
    x = 98,213,654.41/13,584.31
  6. Step 6: Final answer
    x = 7,229.93

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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.