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Finding the Fourth Proportional to 17,978.31, 26,968.28 and 6,882.12

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Solution

The fourth proportional to 17,978.31, 26,968.28 and 6,882.12 is: 10,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.31 : 26,968.28 = 6,882.12 : x
  2. Step 2: Convert to fraction form
    17,978.31/26,968.28 = 6,882.12/x
  3. Step 3: Cross multiply
    17,978.31x = 26,968.28 × 6,882.12
  4. Step 4: Simplify right side
    17,978.31x = 185,598,904.74
  5. Step 5: Solve for x
    x = 185,598,904.74/17,978.31
  6. Step 6: Final answer
    x = 10,323.49

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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.