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Finding the Fourth Proportional to 17,755.86, 24,489.23 and 11,383.05

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Solution

The fourth proportional to 17,755.86, 24,489.23 and 11,383.05 is: 15,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.86 : 24,489.23 = 11,383.05 : x
  2. Step 2: Convert to fraction form
    17,755.86/24,489.23 = 11,383.05/x
  3. Step 3: Cross multiply
    17,755.86x = 24,489.23 × 11,383.05
  4. Step 4: Simplify right side
    17,755.86x = 278,762,129.55
  5. Step 5: Solve for x
    x = 278,762,129.55/17,755.86
  6. Step 6: Final answer
    x = 15,699.73

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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.