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Finding the Fourth Proportional to 12,831.06, 17,707.64 and 7,165.80

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Solution

The fourth proportional to 12,831.06, 17,707.64 and 7,165.80 is: 9,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.06 : 17,707.64 = 7,165.80 : x
  2. Step 2: Convert to fraction form
    12,831.06/17,707.64 = 7,165.80/x
  3. Step 3: Cross multiply
    12,831.06x = 17,707.64 × 7,165.80
  4. Step 4: Simplify right side
    12,831.06x = 126,889,406.71
  5. Step 5: Solve for x
    x = 126,889,406.71/12,831.06
  6. Step 6: Final answer
    x = 9,889.24

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