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Finding the Fourth Proportional to 20,785.69, 31,158.01 and 8,298.19

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Solution

The fourth proportional to 20,785.69, 31,158.01 and 8,298.19 is: 12,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.69 : 31,158.01 = 8,298.19 : x
  2. Step 2: Convert to fraction form
    20,785.69/31,158.01 = 8,298.19/x
  3. Step 3: Cross multiply
    20,785.69x = 31,158.01 × 8,298.19
  4. Step 4: Simplify right side
    20,785.69x = 258,555,087.00
  5. Step 5: Solve for x
    x = 258,555,087.00/20,785.69
  6. Step 6: Final answer
    x = 12,439.09

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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.