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Finding the Fourth Proportional to 31,128.16, 46,670.64 and 11,404

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Solution

The fourth proportional to 31,128.16, 46,670.64 and 11,404 is: 17,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128.16 : 46,670.64 = 11,404 : x
  2. Step 2: Convert to fraction form
    31,128.16/46,670.64 = 11,404/x
  3. Step 3: Cross multiply
    31,128.16x = 46,670.64 × 11,404
  4. Step 4: Simplify right side
    31,128.16x = 532,231,978.56
  5. Step 5: Solve for x
    x = 532,231,978.56/31,128.16
  6. Step 6: Final answer
    x = 17,098.09

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