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Finding the Fourth Proportional to 17,969.56, 26,952.26 and 6,876

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Solution

The fourth proportional to 17,969.56, 26,952.26 and 6,876 is: 10,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.56 : 26,952.26 = 6,876 : x
  2. Step 2: Convert to fraction form
    17,969.56/26,952.26 = 6,876/x
  3. Step 3: Cross multiply
    17,969.56x = 26,952.26 × 6,876
  4. Step 4: Simplify right side
    17,969.56x = 185,323,739.76
  5. Step 5: Solve for x
    x = 185,323,739.76/17,969.56
  6. Step 6: Final answer
    x = 10,313.20

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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.