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Finding the Fourth Proportional to 13,171.49, 19,757.21 and 6,149.15

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Solution

The fourth proportional to 13,171.49, 19,757.21 and 6,149.15 is: 9,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.49 : 19,757.21 = 6,149.15 : x
  2. Step 2: Convert to fraction form
    13,171.49/19,757.21 = 6,149.15/x
  3. Step 3: Cross multiply
    13,171.49x = 19,757.21 × 6,149.15
  4. Step 4: Simplify right side
    13,171.49x = 121,489,918.34
  5. Step 5: Solve for x
    x = 121,489,918.34/13,171.49
  6. Step 6: Final answer
    x = 9,223.71

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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.