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Finding the Fourth Proportional to 14,523.09, 20,041.16 and 8,234.25

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Solution

The fourth proportional to 14,523.09, 20,041.16 and 8,234.25 is: 11,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.09 : 20,041.16 = 8,234.25 : x
  2. Step 2: Convert to fraction form
    14,523.09/20,041.16 = 8,234.25/x
  3. Step 3: Cross multiply
    14,523.09x = 20,041.16 × 8,234.25
  4. Step 4: Simplify right side
    14,523.09x = 165,023,880.56
  5. Step 5: Solve for x
    x = 165,023,880.56/14,523.09
  6. Step 6: Final answer
    x = 11,362.86

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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.