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Finding the Fourth Proportional to 12,771.34, 17,623.46 and 7,105.94

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Solution

The fourth proportional to 12,771.34, 17,623.46 and 7,105.94 is: 9,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.34 : 17,623.46 = 7,105.94 : x
  2. Step 2: Convert to fraction form
    12,771.34/17,623.46 = 7,105.94/x
  3. Step 3: Cross multiply
    12,771.34x = 17,623.46 × 7,105.94
  4. Step 4: Simplify right side
    12,771.34x = 125,231,249.35
  5. Step 5: Solve for x
    x = 125,231,249.35/12,771.34
  6. Step 6: Final answer
    x = 9,805.65

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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.