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Finding the Fourth Proportional to 19,781.95, 27,298.40 and 11,286.82

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Solution

The fourth proportional to 19,781.95, 27,298.40 and 11,286.82 is: 15,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.95 : 27,298.40 = 11,286.82 : x
  2. Step 2: Convert to fraction form
    19,781.95/27,298.40 = 11,286.82/x
  3. Step 3: Cross multiply
    19,781.95x = 27,298.40 × 11,286.82
  4. Step 4: Simplify right side
    19,781.95x = 308,112,087.06
  5. Step 5: Solve for x
    x = 308,112,087.06/19,781.95
  6. Step 6: Final answer
    x = 15,575.42

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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.