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Finding the Fourth Proportional to 20,980.10, 31,470.57 and 7,829.85

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Solution

The fourth proportional to 20,980.10, 31,470.57 and 7,829.85 is: 11,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.10 : 31,470.57 = 7,829.85 : x
  2. Step 2: Convert to fraction form
    20,980.10/31,470.57 = 7,829.85/x
  3. Step 3: Cross multiply
    20,980.10x = 31,470.57 × 7,829.85
  4. Step 4: Simplify right side
    20,980.10x = 246,409,842.51
  5. Step 5: Solve for x
    x = 246,409,842.51/20,980.10
  6. Step 6: Final answer
    x = 11,744.93

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