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Finding the Fourth Proportional to 18,654.84, 27,983.81 and 6,174.50

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Solution

The fourth proportional to 18,654.84, 27,983.81 and 6,174.50 is: 9,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654.84 : 27,983.81 = 6,174.50 : x
  2. Step 2: Convert to fraction form
    18,654.84/27,983.81 = 6,174.50/x
  3. Step 3: Cross multiply
    18,654.84x = 27,983.81 × 6,174.50
  4. Step 4: Simplify right side
    18,654.84x = 172,785,910.36
  5. Step 5: Solve for x
    x = 172,785,910.36/18,654.84
  6. Step 6: Final answer
    x = 9,262.26

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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.