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Finding the Fourth Proportional to 11,951.40, 17,953.02 and 11,514

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Solution

The fourth proportional to 11,951.40, 17,953.02 and 11,514 is: 17,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.40 : 17,953.02 = 11,514 : x
  2. Step 2: Convert to fraction form
    11,951.40/17,953.02 = 11,514/x
  3. Step 3: Cross multiply
    11,951.40x = 17,953.02 × 11,514
  4. Step 4: Simplify right side
    11,951.40x = 206,711,072.28
  5. Step 5: Solve for x
    x = 206,711,072.28/11,951.40
  6. Step 6: Final answer
    x = 17,295.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.