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Finding the Fourth Proportional to 20,093.84, 27,729.40 and 11,142.68

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Solution

The fourth proportional to 20,093.84, 27,729.40 and 11,142.68 is: 15,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.84 : 27,729.40 = 11,142.68 : x
  2. Step 2: Convert to fraction form
    20,093.84/27,729.40 = 11,142.68/x
  3. Step 3: Cross multiply
    20,093.84x = 27,729.40 × 11,142.68
  4. Step 4: Simplify right side
    20,093.84x = 308,979,830.79
  5. Step 5: Solve for x
    x = 308,979,830.79/20,093.84
  6. Step 6: Final answer
    x = 15,376.84

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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.