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Finding the Fourth Proportional to 16,958.50, 23,401.91 and 9,404.24

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Solution

The fourth proportional to 16,958.50, 23,401.91 and 9,404.24 is: 12,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,958.50 : 23,401.91 = 9,404.24 : x
  2. Step 2: Convert to fraction form
    16,958.50/23,401.91 = 9,404.24/x
  3. Step 3: Cross multiply
    16,958.50x = 23,401.91 × 9,404.24
  4. Step 4: Simplify right side
    16,958.50x = 220,077,084.60
  5. Step 5: Solve for x
    x = 220,077,084.60/16,958.50
  6. Step 6: Final answer
    x = 12,977.39

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Why These Related Problems?

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