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Finding the Fourth Proportional to 14,523.89, 20,042.57 and 8,236.13

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Solution

The fourth proportional to 14,523.89, 20,042.57 and 8,236.13 is: 11,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.89 : 20,042.57 = 8,236.13 : x
  2. Step 2: Convert to fraction form
    14,523.89/20,042.57 = 8,236.13/x
  3. Step 3: Cross multiply
    14,523.89x = 20,042.57 × 8,236.13
  4. Step 4: Simplify right side
    14,523.89x = 165,073,132.43
  5. Step 5: Solve for x
    x = 165,073,132.43/14,523.89
  6. Step 6: Final answer
    x = 11,365.63

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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.