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Finding the Fourth Proportional to 14,514.72, 20,029.92 and 8,227.68

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Solution

The fourth proportional to 14,514.72, 20,029.92 and 8,227.68 is: 11,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.72 : 20,029.92 = 8,227.68 : x
  2. Step 2: Convert to fraction form
    14,514.72/20,029.92 = 8,227.68/x
  3. Step 3: Cross multiply
    14,514.72x = 20,029.92 × 8,227.68
  4. Step 4: Simplify right side
    14,514.72x = 164,799,772.19
  5. Step 5: Solve for x
    x = 164,799,772.19/14,514.72
  6. Step 6: Final answer
    x = 11,353.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.