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Finding the Fourth Proportional to 14,514.67, 20,030.25 and 8,227.09

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Solution

The fourth proportional to 14,514.67, 20,030.25 and 8,227.09 is: 11,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.67 : 20,030.25 = 8,227.09 : x
  2. Step 2: Convert to fraction form
    14,514.67/20,030.25 = 8,227.09/x
  3. Step 3: Cross multiply
    14,514.67x = 20,030.25 × 8,227.09
  4. Step 4: Simplify right side
    14,514.67x = 164,790,669.47
  5. Step 5: Solve for x
    x = 164,790,669.47/14,514.67
  6. Step 6: Final answer
    x = 11,353.39

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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.