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Finding the Fourth Proportional to 10,829.76, 16,212.96 and 9,792.15

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Solution

The fourth proportional to 10,829.76, 16,212.96 and 9,792.15 is: 14,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.76 : 16,212.96 = 9,792.15 : x
  2. Step 2: Convert to fraction form
    10,829.76/16,212.96 = 9,792.15/x
  3. Step 3: Cross multiply
    10,829.76x = 16,212.96 × 9,792.15
  4. Step 4: Simplify right side
    10,829.76x = 158,759,736.26
  5. Step 5: Solve for x
    x = 158,759,736.26/10,829.76
  6. Step 6: Final answer
    x = 14,659.58

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