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Finding the Fourth Proportional to 17,083.78, 25,629.15 and 9,691.78

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Solution

The fourth proportional to 17,083.78, 25,629.15 and 9,691.78 is: 14,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.78 : 25,629.15 = 9,691.78 : x
  2. Step 2: Convert to fraction form
    17,083.78/25,629.15 = 9,691.78/x
  3. Step 3: Cross multiply
    17,083.78x = 25,629.15 × 9,691.78
  4. Step 4: Simplify right side
    17,083.78x = 248,392,083.39
  5. Step 5: Solve for x
    x = 248,392,083.39/17,083.78
  6. Step 6: Final answer
    x = 14,539.64

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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.