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Finding the Fourth Proportional to 20,891.14, 31,333.12 and 5,899.30

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Solution

The fourth proportional to 20,891.14, 31,333.12 and 5,899.30 is: 8,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.14 : 31,333.12 = 5,899.30 : x
  2. Step 2: Convert to fraction form
    20,891.14/31,333.12 = 5,899.30/x
  3. Step 3: Cross multiply
    20,891.14x = 31,333.12 × 5,899.30
  4. Step 4: Simplify right side
    20,891.14x = 184,843,381.73
  5. Step 5: Solve for x
    x = 184,843,381.73/20,891.14
  6. Step 6: Final answer
    x = 8,847.93

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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.