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Finding the Fourth Proportional to 20,970.82, 31,475.67 and 10,589.86

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Solution

The fourth proportional to 20,970.82, 31,475.67 and 10,589.86 is: 15,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.82 : 31,475.67 = 10,589.86 : x
  2. Step 2: Convert to fraction form
    20,970.82/31,475.67 = 10,589.86/x
  3. Step 3: Cross multiply
    20,970.82x = 31,475.67 × 10,589.86
  4. Step 4: Simplify right side
    20,970.82x = 333,322,938.71
  5. Step 5: Solve for x
    x = 333,322,938.71/20,970.82
  6. Step 6: Final answer
    x = 15,894.61

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