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Finding the Fourth Proportional to 18,634.08, 27,936.06 and 6,146.32

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Solution

The fourth proportional to 18,634.08, 27,936.06 and 6,146.32 is: 9,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634.08 : 27,936.06 = 6,146.32 : x
  2. Step 2: Convert to fraction form
    18,634.08/27,936.06 = 6,146.32/x
  3. Step 3: Cross multiply
    18,634.08x = 27,936.06 × 6,146.32
  4. Step 4: Simplify right side
    18,634.08x = 171,703,964.30
  5. Step 5: Solve for x
    x = 171,703,964.30/18,634.08
  6. Step 6: Final answer
    x = 9,214.51

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Why These Related Problems?

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