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Finding the Fourth Proportional to 16,638.21, 22,963.50 and 9,469.71

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Solution

The fourth proportional to 16,638.21, 22,963.50 and 9,469.71 is: 13,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.21 : 22,963.50 = 9,469.71 : x
  2. Step 2: Convert to fraction form
    16,638.21/22,963.50 = 9,469.71/x
  3. Step 3: Cross multiply
    16,638.21x = 22,963.50 × 9,469.71
  4. Step 4: Simplify right side
    16,638.21x = 217,457,685.59
  5. Step 5: Solve for x
    x = 217,457,685.59/16,638.21
  6. Step 6: Final answer
    x = 13,069.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.