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Finding the Fourth Proportional to 17,984.14, 26,968.12 and 6,883.06

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Solution

The fourth proportional to 17,984.14, 26,968.12 and 6,883.06 is: 10,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.14 : 26,968.12 = 6,883.06 : x
  2. Step 2: Convert to fraction form
    17,984.14/26,968.12 = 6,883.06/x
  3. Step 3: Cross multiply
    17,984.14x = 26,968.12 × 6,883.06
  4. Step 4: Simplify right side
    17,984.14x = 185,623,188.05
  5. Step 5: Solve for x
    x = 185,623,188.05/17,984.14
  6. Step 6: Final answer
    x = 10,321.49

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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.