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Finding the Fourth Proportional to 17,771.25, 24,523.87 and 11,714.07

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Solution

The fourth proportional to 17,771.25, 24,523.87 and 11,714.07 is: 16,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.25 : 24,523.87 = 11,714.07 : x
  2. Step 2: Convert to fraction form
    17,771.25/24,523.87 = 11,714.07/x
  3. Step 3: Cross multiply
    17,771.25x = 24,523.87 × 11,714.07
  4. Step 4: Simplify right side
    17,771.25x = 287,274,329.85
  5. Step 5: Solve for x
    x = 287,274,329.85/17,771.25
  6. Step 6: Final answer
    x = 16,165.12

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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.