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Finding the Fourth Proportional to 27,770.96, 38,326.56 and 15,197.60

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Solution

The fourth proportional to 27,770.96, 38,326.56 and 15,197.60 is: 20,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.96 : 38,326.56 = 15,197.60 : x
  2. Step 2: Convert to fraction form
    27,770.96/38,326.56 = 15,197.60/x
  3. Step 3: Cross multiply
    27,770.96x = 38,326.56 × 15,197.60
  4. Step 4: Simplify right side
    27,770.96x = 582,471,728.26
  5. Step 5: Solve for x
    x = 582,471,728.26/27,770.96
  6. Step 6: Final answer
    x = 20,974.13

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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.