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Finding the Fourth Proportional to 17,378, 26,049.72 and 8,127.44

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Solution

The fourth proportional to 17,378, 26,049.72 and 8,127.44 is: 12,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378 : 26,049.72 = 8,127.44 : x
  2. Step 2: Convert to fraction form
    17,378/26,049.72 = 8,127.44/x
  3. Step 3: Cross multiply
    17,378x = 26,049.72 × 8,127.44
  4. Step 4: Simplify right side
    17,378x = 211,717,536.32
  5. Step 5: Solve for x
    x = 211,717,536.32/17,378
  6. Step 6: Final answer
    x = 12,183.08

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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.