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Finding the Fourth Proportional to 31,509.38, 47,264.99 and 11,784.17

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Solution

The fourth proportional to 31,509.38, 47,264.99 and 11,784.17 is: 17,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.38 : 47,264.99 = 11,784.17 : x
  2. Step 2: Convert to fraction form
    31,509.38/47,264.99 = 11,784.17/x
  3. Step 3: Cross multiply
    31,509.38x = 47,264.99 × 11,784.17
  4. Step 4: Simplify right side
    31,509.38x = 556,978,736.45
  5. Step 5: Solve for x
    x = 556,978,736.45/31,509.38
  6. Step 6: Final answer
    x = 17,676.60

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