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Finding the Fourth Proportional to 12,982.08, 17,914.26 and 7,944.21

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Solution

The fourth proportional to 12,982.08, 17,914.26 and 7,944.21 is: 10,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.08 : 17,914.26 = 7,944.21 : x
  2. Step 2: Convert to fraction form
    12,982.08/17,914.26 = 7,944.21/x
  3. Step 3: Cross multiply
    12,982.08x = 17,914.26 × 7,944.21
  4. Step 4: Simplify right side
    12,982.08x = 142,314,643.43
  5. Step 5: Solve for x
    x = 142,314,643.43/12,982.08
  6. Step 6: Final answer
    x = 10,962.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.