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Finding the Fourth Proportional to 16,638.94, 24,814.09 and 14,189.50

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Solution

The fourth proportional to 16,638.94, 24,814.09 and 14,189.50 is: 21,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.94 : 24,814.09 = 14,189.50 : x
  2. Step 2: Convert to fraction form
    16,638.94/24,814.09 = 14,189.50/x
  3. Step 3: Cross multiply
    16,638.94x = 24,814.09 × 14,189.50
  4. Step 4: Simplify right side
    16,638.94x = 352,099,530.06
  5. Step 5: Solve for x
    x = 352,099,530.06/16,638.94
  6. Step 6: Final answer
    x = 21,161.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.