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Finding the Fourth Proportional to 30,970.86, 42,739.92 and 16,823.76

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Solution

The fourth proportional to 30,970.86, 42,739.92 and 16,823.76 is: 23,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.86 : 42,739.92 = 16,823.76 : x
  2. Step 2: Convert to fraction form
    30,970.86/42,739.92 = 16,823.76/x
  3. Step 3: Cross multiply
    30,970.86x = 42,739.92 × 16,823.76
  4. Step 4: Simplify right side
    30,970.86x = 719,046,156.50
  5. Step 5: Solve for x
    x = 719,046,156.50/30,970.86
  6. Step 6: Final answer
    x = 23,216.86

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