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Finding the Fourth Proportional to 17,882.36, 24,686.54 and 11,171.71

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Solution

The fourth proportional to 17,882.36, 24,686.54 and 11,171.71 is: 15,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.36 : 24,686.54 = 11,171.71 : x
  2. Step 2: Convert to fraction form
    17,882.36/24,686.54 = 11,171.71/x
  3. Step 3: Cross multiply
    17,882.36x = 24,686.54 × 11,171.71
  4. Step 4: Simplify right side
    17,882.36x = 275,790,865.78
  5. Step 5: Solve for x
    x = 275,790,865.78/17,882.36
  6. Step 6: Final answer
    x = 15,422.51

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