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Finding the Fourth Proportional to 17,137.72, 25,714.24 and 10,896.06

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Solution

The fourth proportional to 17,137.72, 25,714.24 and 10,896.06 is: 16,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.72 : 25,714.24 = 10,896.06 : x
  2. Step 2: Convert to fraction form
    17,137.72/25,714.24 = 10,896.06/x
  3. Step 3: Cross multiply
    17,137.72x = 25,714.24 × 10,896.06
  4. Step 4: Simplify right side
    17,137.72x = 280,183,901.89
  5. Step 5: Solve for x
    x = 280,183,901.89/17,137.72
  6. Step 6: Final answer
    x = 16,348.96

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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.