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Finding the Fourth Proportional to 21,112.72, 31,668.84 and 8,639.44

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Solution

The fourth proportional to 21,112.72, 31,668.84 and 8,639.44 is: 12,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112.72 : 31,668.84 = 8,639.44 : x
  2. Step 2: Convert to fraction form
    21,112.72/31,668.84 = 8,639.44/x
  3. Step 3: Cross multiply
    21,112.72x = 31,668.84 × 8,639.44
  4. Step 4: Simplify right side
    21,112.72x = 273,601,043.05
  5. Step 5: Solve for x
    x = 273,601,043.05/21,112.72
  6. Step 6: Final answer
    x = 12,959.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.