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Finding the Fourth Proportional to 14,741.92, 20,343.17 and 8,027.52

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Solution

The fourth proportional to 14,741.92, 20,343.17 and 8,027.52 is: 11,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.92 : 20,343.17 = 8,027.52 : x
  2. Step 2: Convert to fraction form
    14,741.92/20,343.17 = 8,027.52/x
  3. Step 3: Cross multiply
    14,741.92x = 20,343.17 × 8,027.52
  4. Step 4: Simplify right side
    14,741.92x = 163,305,204.04
  5. Step 5: Solve for x
    x = 163,305,204.04/14,741.92
  6. Step 6: Final answer
    x = 11,077.61

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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.