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Finding the Fourth Proportional to 18,191.72, 25,104.47 and 10,234

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Solution

The fourth proportional to 18,191.72, 25,104.47 and 10,234 is: 14,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,191.72 : 25,104.47 = 10,234 : x
  2. Step 2: Convert to fraction form
    18,191.72/25,104.47 = 10,234/x
  3. Step 3: Cross multiply
    18,191.72x = 25,104.47 × 10,234
  4. Step 4: Simplify right side
    18,191.72x = 256,919,145.98
  5. Step 5: Solve for x
    x = 256,919,145.98/18,191.72
  6. Step 6: Final answer
    x = 14,122.86

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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.