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Finding the Fourth Proportional to 30,842.57, 42,562.77 and 16,695.42

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Solution

The fourth proportional to 30,842.57, 42,562.77 and 16,695.42 is: 23,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.57 : 42,562.77 = 16,695.42 : x
  2. Step 2: Convert to fraction form
    30,842.57/42,562.77 = 16,695.42/x
  3. Step 3: Cross multiply
    30,842.57x = 42,562.77 × 16,695.42
  4. Step 4: Simplify right side
    30,842.57x = 710,603,099.30
  5. Step 5: Solve for x
    x = 710,603,099.30/30,842.57
  6. Step 6: Final answer
    x = 23,039.68

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