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Finding the Fourth Proportional to 18,646.44, 27,963.70 and 6,164.14

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Solution

The fourth proportional to 18,646.44, 27,963.70 and 6,164.14 is: 9,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.44 : 27,963.70 = 6,164.14 : x
  2. Step 2: Convert to fraction form
    18,646.44/27,963.70 = 6,164.14/x
  3. Step 3: Cross multiply
    18,646.44x = 27,963.70 × 6,164.14
  4. Step 4: Simplify right side
    18,646.44x = 172,372,161.72
  5. Step 5: Solve for x
    x = 172,372,161.72/18,646.44
  6. Step 6: Final answer
    x = 9,244.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.