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Finding the Fourth Proportional to 17,757.44, 24,494.93 and 11,381.77

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Solution

The fourth proportional to 17,757.44, 24,494.93 and 11,381.77 is: 15,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.44 : 24,494.93 = 11,381.77 : x
  2. Step 2: Convert to fraction form
    17,757.44/24,494.93 = 11,381.77/x
  3. Step 3: Cross multiply
    17,757.44x = 24,494.93 × 11,381.77
  4. Step 4: Simplify right side
    17,757.44x = 278,795,659.43
  5. Step 5: Solve for x
    x = 278,795,659.43/17,757.44
  6. Step 6: Final answer
    x = 15,700.22

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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.