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Finding the Fourth Proportional to 23,583.30, 32,546.92 and 12,974.88

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Solution

The fourth proportional to 23,583.30, 32,546.92 and 12,974.88 is: 17,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,583.30 : 32,546.92 = 12,974.88 : x
  2. Step 2: Convert to fraction form
    23,583.30/32,546.92 = 12,974.88/x
  3. Step 3: Cross multiply
    23,583.30x = 32,546.92 × 12,974.88
  4. Step 4: Simplify right side
    23,583.30x = 422,292,381.37
  5. Step 5: Solve for x
    x = 422,292,381.37/23,583.30
  6. Step 6: Final answer
    x = 17,906.42

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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.