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Finding the Fourth Proportional to 17,975.92, 26,965.80 and 6,892

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Solution

The fourth proportional to 17,975.92, 26,965.80 and 6,892 is: 10,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.92 : 26,965.80 = 6,892 : x
  2. Step 2: Convert to fraction form
    17,975.92/26,965.80 = 6,892/x
  3. Step 3: Cross multiply
    17,975.92x = 26,965.80 × 6,892
  4. Step 4: Simplify right side
    17,975.92x = 185,848,293.60
  5. Step 5: Solve for x
    x = 185,848,293.60/17,975.92
  6. Step 6: Final answer
    x = 10,338.74

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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.