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Finding the Fourth Proportional to 20,282.30, 30,400.84 and 8,429.46

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Solution

The fourth proportional to 20,282.30, 30,400.84 and 8,429.46 is: 12,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.30 : 30,400.84 = 8,429.46 : x
  2. Step 2: Convert to fraction form
    20,282.30/30,400.84 = 8,429.46/x
  3. Step 3: Cross multiply
    20,282.30x = 30,400.84 × 8,429.46
  4. Step 4: Simplify right side
    20,282.30x = 256,262,664.75
  5. Step 5: Solve for x
    x = 256,262,664.75/20,282.30
  6. Step 6: Final answer
    x = 12,634.79

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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.