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Finding the Fourth Proportional to 27,768.75, 38,321.69 and 15,194.31

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Solution

The fourth proportional to 27,768.75, 38,321.69 and 15,194.31 is: 20,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.75 : 38,321.69 = 15,194.31 : x
  2. Step 2: Convert to fraction form
    27,768.75/38,321.69 = 15,194.31/x
  3. Step 3: Cross multiply
    27,768.75x = 38,321.69 × 15,194.31
  4. Step 4: Simplify right side
    27,768.75x = 582,271,561.61
  5. Step 5: Solve for x
    x = 582,271,561.61/27,768.75
  6. Step 6: Final answer
    x = 20,968.59

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