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Finding the Fourth Proportional to 14,134.44, 21,161.34 and 11,217

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Solution

The fourth proportional to 14,134.44, 21,161.34 and 11,217 is: 16,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.44 : 21,161.34 = 11,217 : x
  2. Step 2: Convert to fraction form
    14,134.44/21,161.34 = 11,217/x
  3. Step 3: Cross multiply
    14,134.44x = 21,161.34 × 11,217
  4. Step 4: Simplify right side
    14,134.44x = 237,366,750.78
  5. Step 5: Solve for x
    x = 237,366,750.78/14,134.44
  6. Step 6: Final answer
    x = 16,793.50

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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.