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Finding the Fourth Proportional to 12,976.86, 17,889.40 and 9,244.38

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Solution

The fourth proportional to 12,976.86, 17,889.40 and 9,244.38 is: 12,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.86 : 17,889.40 = 9,244.38 : x
  2. Step 2: Convert to fraction form
    12,976.86/17,889.40 = 9,244.38/x
  3. Step 3: Cross multiply
    12,976.86x = 17,889.40 × 9,244.38
  4. Step 4: Simplify right side
    12,976.86x = 165,376,299.01
  5. Step 5: Solve for x
    x = 165,376,299.01/12,976.86
  6. Step 6: Final answer
    x = 12,743.94

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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.