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Finding the Fourth Proportional to 17,832, 24,609.84 and 10,278.48

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Solution

The fourth proportional to 17,832, 24,609.84 and 10,278.48 is: 14,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832 : 24,609.84 = 10,278.48 : x
  2. Step 2: Convert to fraction form
    17,832/24,609.84 = 10,278.48/x
  3. Step 3: Cross multiply
    17,832x = 24,609.84 × 10,278.48
  4. Step 4: Simplify right side
    17,832x = 252,951,748.24
  5. Step 5: Solve for x
    x = 252,951,748.24/17,832
  6. Step 6: Final answer
    x = 14,185.27

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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.