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Finding the Fourth Proportional to 20,093.76, 27,728.60 and 11,141.40

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Solution

The fourth proportional to 20,093.76, 27,728.60 and 11,141.40 is: 15,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.76 : 27,728.60 = 11,141.40 : x
  2. Step 2: Convert to fraction form
    20,093.76/27,728.60 = 11,141.40/x
  3. Step 3: Cross multiply
    20,093.76x = 27,728.60 × 11,141.40
  4. Step 4: Simplify right side
    20,093.76x = 308,935,424.04
  5. Step 5: Solve for x
    x = 308,935,424.04/20,093.76
  6. Step 6: Final answer
    x = 15,374.69

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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.