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Finding the Fourth Proportional to 17,951.50, 24,773.64 and 11,234.98

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Solution

The fourth proportional to 17,951.50, 24,773.64 and 11,234.98 is: 15,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,951.50 : 24,773.64 = 11,234.98 : x
  2. Step 2: Convert to fraction form
    17,951.50/24,773.64 = 11,234.98/x
  3. Step 3: Cross multiply
    17,951.50x = 24,773.64 × 11,234.98
  4. Step 4: Simplify right side
    17,951.50x = 278,331,349.93
  5. Step 5: Solve for x
    x = 278,331,349.93/17,951.50
  6. Step 6: Final answer
    x = 15,504.63

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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.