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Finding the Fourth Proportional to 17,279.96, 23,846.38 and 9,827.96

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Solution

The fourth proportional to 17,279.96, 23,846.38 and 9,827.96 is: 13,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,279.96 : 23,846.38 = 9,827.96 : x
  2. Step 2: Convert to fraction form
    17,279.96/23,846.38 = 9,827.96/x
  3. Step 3: Cross multiply
    17,279.96x = 23,846.38 × 9,827.96
  4. Step 4: Simplify right side
    17,279.96x = 234,361,268.78
  5. Step 5: Solve for x
    x = 234,361,268.78/17,279.96
  6. Step 6: Final answer
    x = 13,562.60

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1.5x scale

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.