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Finding the Fourth Proportional to 14,466.23, 21,680.38 and 8,229.11

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Solution

The fourth proportional to 14,466.23, 21,680.38 and 8,229.11 is: 12,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.23 : 21,680.38 = 8,229.11 : x
  2. Step 2: Convert to fraction form
    14,466.23/21,680.38 = 8,229.11/x
  3. Step 3: Cross multiply
    14,466.23x = 21,680.38 × 8,229.11
  4. Step 4: Simplify right side
    14,466.23x = 178,410,231.86
  5. Step 5: Solve for x
    x = 178,410,231.86/14,466.23
  6. Step 6: Final answer
    x = 12,332.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.