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Finding the Fourth Proportional to 12,394.50, 17,104.78 and 6,805.86

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Solution

The fourth proportional to 12,394.50, 17,104.78 and 6,805.86 is: 9,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.50 : 17,104.78 = 6,805.86 : x
  2. Step 2: Convert to fraction form
    12,394.50/17,104.78 = 6,805.86/x
  3. Step 3: Cross multiply
    12,394.50x = 17,104.78 × 6,805.86
  4. Step 4: Simplify right side
    12,394.50x = 116,412,738.01
  5. Step 5: Solve for x
    x = 116,412,738.01/12,394.50
  6. Step 6: Final answer
    x = 9,392.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.