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Finding the Fourth Proportional to 20,761.96, 31,142.86 and 8,908.04

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Solution

The fourth proportional to 20,761.96, 31,142.86 and 8,908.04 is: 13,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.96 : 31,142.86 = 8,908.04 : x
  2. Step 2: Convert to fraction form
    20,761.96/31,142.86 = 8,908.04/x
  3. Step 3: Cross multiply
    20,761.96x = 31,142.86 × 8,908.04
  4. Step 4: Simplify right side
    20,761.96x = 277,421,842.59
  5. Step 5: Solve for x
    x = 277,421,842.59/20,761.96
  6. Step 6: Final answer
    x = 13,362.03

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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.