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Finding the Fourth Proportional to 20,094.84, 27,730.78 and 11,143.68

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Solution

The fourth proportional to 20,094.84, 27,730.78 and 11,143.68 is: 15,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.84 : 27,730.78 = 11,143.68 : x
  2. Step 2: Convert to fraction form
    20,094.84/27,730.78 = 11,143.68/x
  3. Step 3: Cross multiply
    20,094.84x = 27,730.78 × 11,143.68
  4. Step 4: Simplify right side
    20,094.84x = 309,022,938.47
  5. Step 5: Solve for x
    x = 309,022,938.47/20,094.84
  6. Step 6: Final answer
    x = 15,378.22

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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.