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Finding the Fourth Proportional to 18,643.50, 27,975.66 and 14,491.83

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Solution

The fourth proportional to 18,643.50, 27,975.66 and 14,491.83 is: 21,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.50 : 27,975.66 = 14,491.83 : x
  2. Step 2: Convert to fraction form
    18,643.50/27,975.66 = 14,491.83/x
  3. Step 3: Cross multiply
    18,643.50x = 27,975.66 × 14,491.83
  4. Step 4: Simplify right side
    18,643.50x = 405,418,508.86
  5. Step 5: Solve for x
    x = 405,418,508.86/18,643.50
  6. Step 6: Final answer
    x = 21,745.84

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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.