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Finding the Fourth Proportional to 20,117.64, 30,156.89 and 9,584.85

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Solution

The fourth proportional to 20,117.64, 30,156.89 and 9,584.85 is: 14,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.64 : 30,156.89 = 9,584.85 : x
  2. Step 2: Convert to fraction form
    20,117.64/30,156.89 = 9,584.85/x
  3. Step 3: Cross multiply
    20,117.64x = 30,156.89 × 9,584.85
  4. Step 4: Simplify right side
    20,117.64x = 289,049,219.19
  5. Step 5: Solve for x
    x = 289,049,219.19/20,117.64
  6. Step 6: Final answer
    x = 14,367.95

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