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Finding the Fourth Proportional to 16,958.44, 23,401.38 and 9,505

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Solution

The fourth proportional to 16,958.44, 23,401.38 and 9,505 is: 13,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,958.44 : 23,401.38 = 9,505 : x
  2. Step 2: Convert to fraction form
    16,958.44/23,401.38 = 9,505/x
  3. Step 3: Cross multiply
    16,958.44x = 23,401.38 × 9,505
  4. Step 4: Simplify right side
    16,958.44x = 222,430,116.90
  5. Step 5: Solve for x
    x = 222,430,116.90/16,958.44
  6. Step 6: Final answer
    x = 13,116.19

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1.5x scale

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.