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Finding the Fourth Proportional to 17,882.43, 24,676.16 and 9,924.86

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Solution

The fourth proportional to 17,882.43, 24,676.16 and 9,924.86 is: 13,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.43 : 24,676.16 = 9,924.86 : x
  2. Step 2: Convert to fraction form
    17,882.43/24,676.16 = 9,924.86/x
  3. Step 3: Cross multiply
    17,882.43x = 24,676.16 × 9,924.86
  4. Step 4: Simplify right side
    17,882.43x = 244,907,260.33
  5. Step 5: Solve for x
    x = 244,907,260.33/17,882.43
  6. Step 6: Final answer
    x = 13,695.41

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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.