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Finding the Fourth Proportional to 20,667.64, 31,004.94 and 9,569.80

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Solution

The fourth proportional to 20,667.64, 31,004.94 and 9,569.80 is: 14,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,667.64 : 31,004.94 = 9,569.80 : x
  2. Step 2: Convert to fraction form
    20,667.64/31,004.94 = 9,569.80/x
  3. Step 3: Cross multiply
    20,667.64x = 31,004.94 × 9,569.80
  4. Step 4: Simplify right side
    20,667.64x = 296,711,074.81
  5. Step 5: Solve for x
    x = 296,711,074.81/20,667.64
  6. Step 6: Final answer
    x = 14,356.31

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