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Finding the Fourth Proportional to 30,942.78, 46,421.73 and 9,882.81

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Solution

The fourth proportional to 30,942.78, 46,421.73 and 9,882.81 is: 14,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.78 : 46,421.73 = 9,882.81 : x
  2. Step 2: Convert to fraction form
    30,942.78/46,421.73 = 9,882.81/x
  3. Step 3: Cross multiply
    30,942.78x = 46,421.73 × 9,882.81
  4. Step 4: Simplify right side
    30,942.78x = 458,777,165.26
  5. Step 5: Solve for x
    x = 458,777,165.26/30,942.78
  6. Step 6: Final answer
    x = 14,826.63

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