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Finding the Fourth Proportional to 30,839.48, 46,273.56 and 9,782.84

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Solution

The fourth proportional to 30,839.48, 46,273.56 and 9,782.84 is: 14,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.48 : 46,273.56 = 9,782.84 : x
  2. Step 2: Convert to fraction form
    30,839.48/46,273.56 = 9,782.84/x
  3. Step 3: Cross multiply
    30,839.48x = 46,273.56 × 9,782.84
  4. Step 4: Simplify right side
    30,839.48x = 452,686,833.71
  5. Step 5: Solve for x
    x = 452,686,833.71/30,839.48
  6. Step 6: Final answer
    x = 14,678.81

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