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Finding the Fourth Proportional to 23,105.70, 31,885.97 and 12,495.42

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Solution

The fourth proportional to 23,105.70, 31,885.97 and 12,495.42 is: 17,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.70 : 31,885.97 = 12,495.42 : x
  2. Step 2: Convert to fraction form
    23,105.70/31,885.97 = 12,495.42/x
  3. Step 3: Cross multiply
    23,105.70x = 31,885.97 × 12,495.42
  4. Step 4: Simplify right side
    23,105.70x = 398,428,524.78
  5. Step 5: Solve for x
    x = 398,428,524.78/23,105.70
  6. Step 6: Final answer
    x = 17,243.73

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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.