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Finding the Fourth Proportional to 14,519.81, 20,034.25 and 8,549.30

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Solution

The fourth proportional to 14,519.81, 20,034.25 and 8,549.30 is: 11,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.81 : 20,034.25 = 8,549.30 : x
  2. Step 2: Convert to fraction form
    14,519.81/20,034.25 = 8,549.30/x
  3. Step 3: Cross multiply
    14,519.81x = 20,034.25 × 8,549.30
  4. Step 4: Simplify right side
    14,519.81x = 171,278,874.30
  5. Step 5: Solve for x
    x = 171,278,874.30/14,519.81
  6. Step 6: Final answer
    x = 11,796.22

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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.