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Finding the Fourth Proportional to 13,083.26, 19,624.89 and 3,849.26

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Solution

The fourth proportional to 13,083.26, 19,624.89 and 3,849.26 is: 5,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.26 : 19,624.89 = 3,849.26 : x
  2. Step 2: Convert to fraction form
    13,083.26/19,624.89 = 3,849.26/x
  3. Step 3: Cross multiply
    13,083.26x = 19,624.89 × 3,849.26
  4. Step 4: Simplify right side
    13,083.26x = 75,541,205.96
  5. Step 5: Solve for x
    x = 75,541,205.96/13,083.26
  6. Step 6: Final answer
    x = 5,773.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.