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Finding the Fourth Proportional to 12,879.50, 19,321.68 and 5,954

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Solution

The fourth proportional to 12,879.50, 19,321.68 and 5,954 is: 8,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.50 : 19,321.68 = 5,954 : x
  2. Step 2: Convert to fraction form
    12,879.50/19,321.68 = 5,954/x
  3. Step 3: Cross multiply
    12,879.50x = 19,321.68 × 5,954
  4. Step 4: Simplify right side
    12,879.50x = 115,041,282.72
  5. Step 5: Solve for x
    x = 115,041,282.72/12,879.50
  6. Step 6: Final answer
    x = 8,932.12

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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.