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Finding the Fourth Proportional to 16,992.56, 23,427.96 and 10,694

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Solution

The fourth proportional to 16,992.56, 23,427.96 and 10,694 is: 14,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,992.56 : 23,427.96 = 10,694 : x
  2. Step 2: Convert to fraction form
    16,992.56/23,427.96 = 10,694/x
  3. Step 3: Cross multiply
    16,992.56x = 23,427.96 × 10,694
  4. Step 4: Simplify right side
    16,992.56x = 250,538,604.24
  5. Step 5: Solve for x
    x = 250,538,604.24/16,992.56
  6. Step 6: Final answer
    x = 14,744.02

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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.