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Finding the Fourth Proportional to 17,096.57, 25,637.31 and 7,736.21

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Solution

The fourth proportional to 17,096.57, 25,637.31 and 7,736.21 is: 11,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.57 : 25,637.31 = 7,736.21 : x
  2. Step 2: Convert to fraction form
    17,096.57/25,637.31 = 7,736.21/x
  3. Step 3: Cross multiply
    17,096.57x = 25,637.31 × 7,736.21
  4. Step 4: Simplify right side
    17,096.57x = 198,335,581.95
  5. Step 5: Solve for x
    x = 198,335,581.95/17,096.57
  6. Step 6: Final answer
    x = 11,600.90

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Why These Related Problems?

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