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Finding the Fourth Proportional to 18,014.38, 27,002.73 and 6,164.17

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Solution

The fourth proportional to 18,014.38, 27,002.73 and 6,164.17 is: 9,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014.38 : 27,002.73 = 6,164.17 : x
  2. Step 2: Convert to fraction form
    18,014.38/27,002.73 = 6,164.17/x
  3. Step 3: Cross multiply
    18,014.38x = 27,002.73 × 6,164.17
  4. Step 4: Simplify right side
    18,014.38x = 166,449,402.77
  5. Step 5: Solve for x
    x = 166,449,402.77/18,014.38
  6. Step 6: Final answer
    x = 9,239.81

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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.