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Finding the Fourth Proportional to 30,825.92, 42,546.24 and 19,488.16

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Solution

The fourth proportional to 30,825.92, 42,546.24 and 19,488.16 is: 26,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.92 : 42,546.24 = 19,488.16 : x
  2. Step 2: Convert to fraction form
    30,825.92/42,546.24 = 19,488.16/x
  3. Step 3: Cross multiply
    30,825.92x = 42,546.24 × 19,488.16
  4. Step 4: Simplify right side
    30,825.92x = 829,147,932.52
  5. Step 5: Solve for x
    x = 829,147,932.52/30,825.92
  6. Step 6: Final answer
    x = 26,897.75

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