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Finding the Fourth Proportional to 18,646.62, 27,963.96 and 6,164.30

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Solution

The fourth proportional to 18,646.62, 27,963.96 and 6,164.30 is: 9,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.62 : 27,963.96 = 6,164.30 : x
  2. Step 2: Convert to fraction form
    18,646.62/27,963.96 = 6,164.30/x
  3. Step 3: Cross multiply
    18,646.62x = 27,963.96 × 6,164.30
  4. Step 4: Simplify right side
    18,646.62x = 172,378,238.63
  5. Step 5: Solve for x
    x = 172,378,238.63/18,646.62
  6. Step 6: Final answer
    x = 9,244.48

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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.