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Finding the Fourth Proportional to 17,131.92, 25,691.40 and 6,738

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Solution

The fourth proportional to 17,131.92, 25,691.40 and 6,738 is: 10,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.92 : 25,691.40 = 6,738 : x
  2. Step 2: Convert to fraction form
    17,131.92/25,691.40 = 6,738/x
  3. Step 3: Cross multiply
    17,131.92x = 25,691.40 × 6,738
  4. Step 4: Simplify right side
    17,131.92x = 173,108,653.20
  5. Step 5: Solve for x
    x = 173,108,653.20/17,131.92
  6. Step 6: Final answer
    x = 10,104.45

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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.