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Finding the Fourth Proportional to 27,773.75, 38,327.78 and 15,198.50

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Solution

The fourth proportional to 27,773.75, 38,327.78 and 15,198.50 is: 20,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.75 : 38,327.78 = 15,198.50 : x
  2. Step 2: Convert to fraction form
    27,773.75/38,327.78 = 15,198.50/x
  3. Step 3: Cross multiply
    27,773.75x = 38,327.78 × 15,198.50
  4. Step 4: Simplify right side
    27,773.75x = 582,524,688.34
  5. Step 5: Solve for x
    x = 582,524,688.34/27,773.75
  6. Step 6: Final answer
    x = 20,973.93

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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.