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Finding the Fourth Proportional to 20,871.82, 31,312.83 and 6,080.89

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Solution

The fourth proportional to 20,871.82, 31,312.83 and 6,080.89 is: 9,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.82 : 31,312.83 = 6,080.89 : x
  2. Step 2: Convert to fraction form
    20,871.82/31,312.83 = 6,080.89/x
  3. Step 3: Cross multiply
    20,871.82x = 31,312.83 × 6,080.89
  4. Step 4: Simplify right side
    20,871.82x = 190,409,874.82
  5. Step 5: Solve for x
    x = 190,409,874.82/20,871.82
  6. Step 6: Final answer
    x = 9,122.82

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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.