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Finding the Fourth Proportional to 17,832.63, 24,610.86 and 10,279.29

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Solution

The fourth proportional to 17,832.63, 24,610.86 and 10,279.29 is: 14,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.63 : 24,610.86 = 10,279.29 : x
  2. Step 2: Convert to fraction form
    17,832.63/24,610.86 = 10,279.29/x
  3. Step 3: Cross multiply
    17,832.63x = 24,610.86 × 10,279.29
  4. Step 4: Simplify right side
    17,832.63x = 252,982,167.09
  5. Step 5: Solve for x
    x = 252,982,167.09/17,832.63
  6. Step 6: Final answer
    x = 14,186.48

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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.