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Finding the Fourth Proportional to 23,170, 31,974.60 and 13,234

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Solution

The fourth proportional to 23,170, 31,974.60 and 13,234 is: 18,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170 : 31,974.60 = 13,234 : x
  2. Step 2: Convert to fraction form
    23,170/31,974.60 = 13,234/x
  3. Step 3: Cross multiply
    23,170x = 31,974.60 × 13,234
  4. Step 4: Simplify right side
    23,170x = 423,151,856.40
  5. Step 5: Solve for x
    x = 423,151,856.40/23,170
  6. Step 6: Final answer
    x = 18,262.92

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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.