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Finding the Fourth Proportional to 14,514.14, 20,032.80 and 8,850.80

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Solution

The fourth proportional to 14,514.14, 20,032.80 and 8,850.80 is: 12,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.14 : 20,032.80 = 8,850.80 : x
  2. Step 2: Convert to fraction form
    14,514.14/20,032.80 = 8,850.80/x
  3. Step 3: Cross multiply
    14,514.14x = 20,032.80 × 8,850.80
  4. Step 4: Simplify right side
    14,514.14x = 177,306,306.24
  5. Step 5: Solve for x
    x = 177,306,306.24/14,514.14
  6. Step 6: Final answer
    x = 12,216.11

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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.