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Finding the Fourth Proportional to 14,469.50, 21,704.23 and 9,503.22

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Solution

The fourth proportional to 14,469.50, 21,704.23 and 9,503.22 is: 14,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.50 : 21,704.23 = 9,503.22 : x
  2. Step 2: Convert to fraction form
    14,469.50/21,704.23 = 9,503.22/x
  3. Step 3: Cross multiply
    14,469.50x = 21,704.23 × 9,503.22
  4. Step 4: Simplify right side
    14,469.50x = 206,260,072.62
  5. Step 5: Solve for x
    x = 206,260,072.62/14,469.50
  6. Step 6: Final answer
    x = 14,254.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.