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Finding the Fourth Proportional to 20,094.33, 27,730.52 and 11,142.21

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Solution

The fourth proportional to 20,094.33, 27,730.52 and 11,142.21 is: 15,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.33 : 27,730.52 = 11,142.21 : x
  2. Step 2: Convert to fraction form
    20,094.33/27,730.52 = 11,142.21/x
  3. Step 3: Cross multiply
    20,094.33x = 27,730.52 × 11,142.21
  4. Step 4: Simplify right side
    20,094.33x = 308,979,277.25
  5. Step 5: Solve for x
    x = 308,979,277.25/20,094.33
  6. Step 6: Final answer
    x = 15,376.44

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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.