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Finding the Fourth Proportional to 20,530.88, 30,796.32 and 8,216

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Solution

The fourth proportional to 20,530.88, 30,796.32 and 8,216 is: 12,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.88 : 30,796.32 = 8,216 : x
  2. Step 2: Convert to fraction form
    20,530.88/30,796.32 = 8,216/x
  3. Step 3: Cross multiply
    20,530.88x = 30,796.32 × 8,216
  4. Step 4: Simplify right side
    20,530.88x = 253,022,565.12
  5. Step 5: Solve for x
    x = 253,022,565.12/20,530.88
  6. Step 6: Final answer
    x = 12,324

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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.