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Finding the Fourth Proportional to 20,094.74, 27,730.27 and 11,142.16

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Solution

The fourth proportional to 20,094.74, 27,730.27 and 11,142.16 is: 15,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.74 : 27,730.27 = 11,142.16 : x
  2. Step 2: Convert to fraction form
    20,094.74/27,730.27 = 11,142.16/x
  3. Step 3: Cross multiply
    20,094.74x = 27,730.27 × 11,142.16
  4. Step 4: Simplify right side
    20,094.74x = 308,975,105.18
  5. Step 5: Solve for x
    x = 308,975,105.18/20,094.74
  6. Step 6: Final answer
    x = 15,375.92

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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.