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Finding the Fourth Proportional to 17,141.84, 25,727.32 and 6,760.88

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Solution

The fourth proportional to 17,141.84, 25,727.32 and 6,760.88 is: 10,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.84 : 25,727.32 = 6,760.88 : x
  2. Step 2: Convert to fraction form
    17,141.84/25,727.32 = 6,760.88/x
  3. Step 3: Cross multiply
    17,141.84x = 25,727.32 × 6,760.88
  4. Step 4: Simplify right side
    17,141.84x = 173,939,323.24
  5. Step 5: Solve for x
    x = 173,939,323.24/17,141.84
  6. Step 6: Final answer
    x = 10,147.06

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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.