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Finding the Fourth Proportional to 14,517.38, 20,034.38 and 8,230.16

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Solution

The fourth proportional to 14,517.38, 20,034.38 and 8,230.16 is: 11,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.38 : 20,034.38 = 8,230.16 : x
  2. Step 2: Convert to fraction form
    14,517.38/20,034.38 = 8,230.16/x
  3. Step 3: Cross multiply
    14,517.38x = 20,034.38 × 8,230.16
  4. Step 4: Simplify right side
    14,517.38x = 164,886,073.30
  5. Step 5: Solve for x
    x = 164,886,073.30/14,517.38
  6. Step 6: Final answer
    x = 11,357.84

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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.