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Finding the Fourth Proportional to 19,934, 27,498.38 and 11,861.94

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Solution

The fourth proportional to 19,934, 27,498.38 and 11,861.94 is: 16,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,934 : 27,498.38 = 11,861.94 : x
  2. Step 2: Convert to fraction form
    19,934/27,498.38 = 11,861.94/x
  3. Step 3: Cross multiply
    19,934x = 27,498.38 × 11,861.94
  4. Step 4: Simplify right side
    19,934x = 326,184,133.66
  5. Step 5: Solve for x
    x = 326,184,133.66/19,934
  6. Step 6: Final answer
    x = 16,363.21

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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.