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Finding the Fourth Proportional to 20,094.75, 27,730.76 and 11,143.64

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Solution

The fourth proportional to 20,094.75, 27,730.76 and 11,143.64 is: 15,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.75 : 27,730.76 = 11,143.64 : x
  2. Step 2: Convert to fraction form
    20,094.75/27,730.76 = 11,143.64/x
  3. Step 3: Cross multiply
    20,094.75x = 27,730.76 × 11,143.64
  4. Step 4: Simplify right side
    20,094.75x = 309,021,619.98
  5. Step 5: Solve for x
    x = 309,021,619.98/20,094.75
  6. Step 6: Final answer
    x = 15,378.23

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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.