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Finding the Fourth Proportional to 20,226.64, 30,339.96 and 7,906

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Solution

The fourth proportional to 20,226.64, 30,339.96 and 7,906 is: 11,859

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.64 : 30,339.96 = 7,906 : x
  2. Step 2: Convert to fraction form
    20,226.64/30,339.96 = 7,906/x
  3. Step 3: Cross multiply
    20,226.64x = 30,339.96 × 7,906
  4. Step 4: Simplify right side
    20,226.64x = 239,867,723.76
  5. Step 5: Solve for x
    x = 239,867,723.76/20,226.64
  6. Step 6: Final answer
    x = 11,859

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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.