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Finding the Fourth Proportional to 27,773.25, 38,327.09 and 15,198

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Solution

The fourth proportional to 27,773.25, 38,327.09 and 15,198 is: 20,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.25 : 38,327.09 = 15,198 : x
  2. Step 2: Convert to fraction form
    27,773.25/38,327.09 = 15,198/x
  3. Step 3: Cross multiply
    27,773.25x = 38,327.09 × 15,198
  4. Step 4: Simplify right side
    27,773.25x = 582,495,113.82
  5. Step 5: Solve for x
    x = 582,495,113.82/27,773.25
  6. Step 6: Final answer
    x = 20,973.24

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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.