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Finding the Fourth Proportional to 17,728.53, 26,569.78 and 7,186.22

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Solution

The fourth proportional to 17,728.53, 26,569.78 and 7,186.22 is: 10,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.53 : 26,569.78 = 7,186.22 : x
  2. Step 2: Convert to fraction form
    17,728.53/26,569.78 = 7,186.22/x
  3. Step 3: Cross multiply
    17,728.53x = 26,569.78 × 7,186.22
  4. Step 4: Simplify right side
    17,728.53x = 190,936,115.65
  5. Step 5: Solve for x
    x = 190,936,115.65/17,728.53
  6. Step 6: Final answer
    x = 10,769.99

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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.