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Finding the Fourth Proportional to 20,653.12, 30,954.30 and 9,544.78

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Solution

The fourth proportional to 20,653.12, 30,954.30 and 9,544.78 is: 14,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.12 : 30,954.30 = 9,544.78 : x
  2. Step 2: Convert to fraction form
    20,653.12/30,954.30 = 9,544.78/x
  3. Step 3: Cross multiply
    20,653.12x = 30,954.30 × 9,544.78
  4. Step 4: Simplify right side
    20,653.12x = 295,451,983.55
  5. Step 5: Solve for x
    x = 295,451,983.55/20,653.12
  6. Step 6: Final answer
    x = 14,305.44

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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.