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Finding the Fourth Proportional to 20,094.68, 27,730.99 and 11,142.56

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Solution

The fourth proportional to 20,094.68, 27,730.99 and 11,142.56 is: 15,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.68 : 27,730.99 = 11,142.56 : x
  2. Step 2: Convert to fraction form
    20,094.68/27,730.99 = 11,142.56/x
  3. Step 3: Cross multiply
    20,094.68x = 27,730.99 × 11,142.56
  4. Step 4: Simplify right side
    20,094.68x = 308,994,081.28
  5. Step 5: Solve for x
    x = 308,994,081.28/20,094.68
  6. Step 6: Final answer
    x = 15,376.91

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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.