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Finding the Fourth Proportional to 17,832.52, 24,605.98 and 10,279.16

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Solution

The fourth proportional to 17,832.52, 24,605.98 and 10,279.16 is: 14,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.52 : 24,605.98 = 10,279.16 : x
  2. Step 2: Convert to fraction form
    17,832.52/24,605.98 = 10,279.16/x
  3. Step 3: Cross multiply
    17,832.52x = 24,605.98 × 10,279.16
  4. Step 4: Simplify right side
    17,832.52x = 252,928,805.38
  5. Step 5: Solve for x
    x = 252,928,805.38/17,832.52
  6. Step 6: Final answer
    x = 14,183.57

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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.