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Finding the Fourth Proportional to 19,960.53, 27,546.17 and 11,464.38

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Solution

The fourth proportional to 19,960.53, 27,546.17 and 11,464.38 is: 15,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,960.53 : 27,546.17 = 11,464.38 : x
  2. Step 2: Convert to fraction form
    19,960.53/27,546.17 = 11,464.38/x
  3. Step 3: Cross multiply
    19,960.53x = 27,546.17 × 11,464.38
  4. Step 4: Simplify right side
    19,960.53x = 315,799,760.42
  5. Step 5: Solve for x
    x = 315,799,760.42/19,960.53
  6. Step 6: Final answer
    x = 15,821.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.