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Finding the Fourth Proportional to 17,096.88, 25,645.32 and 7,741.38

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Solution

The fourth proportional to 17,096.88, 25,645.32 and 7,741.38 is: 11,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.88 : 25,645.32 = 7,741.38 : x
  2. Step 2: Convert to fraction form
    17,096.88/25,645.32 = 7,741.38/x
  3. Step 3: Cross multiply
    17,096.88x = 25,645.32 × 7,741.38
  4. Step 4: Simplify right side
    17,096.88x = 198,530,167.34
  5. Step 5: Solve for x
    x = 198,530,167.34/17,096.88
  6. Step 6: Final answer
    x = 11,612.07

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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.