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Finding the Fourth Proportional to 17,954.86, 24,781.11 and 11,894.38

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Solution

The fourth proportional to 17,954.86, 24,781.11 and 11,894.38 is: 16,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954.86 : 24,781.11 = 11,894.38 : x
  2. Step 2: Convert to fraction form
    17,954.86/24,781.11 = 11,894.38/x
  3. Step 3: Cross multiply
    17,954.86x = 24,781.11 × 11,894.38
  4. Step 4: Simplify right side
    17,954.86x = 294,755,939.16
  5. Step 5: Solve for x
    x = 294,755,939.16/17,954.86
  6. Step 6: Final answer
    x = 16,416.50

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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.