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Finding the Fourth Proportional to 17,098.89, 25,639.39 and 7,734.43

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Solution

The fourth proportional to 17,098.89, 25,639.39 and 7,734.43 is: 11,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.89 : 25,639.39 = 7,734.43 : x
  2. Step 2: Convert to fraction form
    17,098.89/25,639.39 = 7,734.43/x
  3. Step 3: Cross multiply
    17,098.89x = 25,639.39 × 7,734.43
  4. Step 4: Simplify right side
    17,098.89x = 198,306,067.20
  5. Step 5: Solve for x
    x = 198,306,067.20/17,098.89
  6. Step 6: Final answer
    x = 11,597.60

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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.