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Finding the Fourth Proportional to 30,978.64, 42,751.16 and 16,832.40

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Solution

The fourth proportional to 30,978.64, 42,751.16 and 16,832.40 is: 23,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.64 : 42,751.16 = 16,832.40 : x
  2. Step 2: Convert to fraction form
    30,978.64/42,751.16 = 16,832.40/x
  3. Step 3: Cross multiply
    30,978.64x = 42,751.16 × 16,832.40
  4. Step 4: Simplify right side
    30,978.64x = 719,604,625.58
  5. Step 5: Solve for x
    x = 719,604,625.58/30,978.64
  6. Step 6: Final answer
    x = 23,229.06

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