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Finding the Fourth Proportional to 17,122.54, 25,676.52 and 6,727

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Solution

The fourth proportional to 17,122.54, 25,676.52 and 6,727 is: 10,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.54 : 25,676.52 = 6,727 : x
  2. Step 2: Convert to fraction form
    17,122.54/25,676.52 = 6,727/x
  3. Step 3: Cross multiply
    17,122.54x = 25,676.52 × 6,727
  4. Step 4: Simplify right side
    17,122.54x = 172,725,950.04
  5. Step 5: Solve for x
    x = 172,725,950.04/17,122.54
  6. Step 6: Final answer
    x = 10,087.64

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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.