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Finding the Fourth Proportional to 30,770.94, 46,164.68 and 9,711.80

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Solution

The fourth proportional to 30,770.94, 46,164.68 and 9,711.80 is: 14,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.94 : 46,164.68 = 9,711.80 : x
  2. Step 2: Convert to fraction form
    30,770.94/46,164.68 = 9,711.80/x
  3. Step 3: Cross multiply
    30,770.94x = 46,164.68 × 9,711.80
  4. Step 4: Simplify right side
    30,770.94x = 448,341,859.84
  5. Step 5: Solve for x
    x = 448,341,859.84/30,770.94
  6. Step 6: Final answer
    x = 14,570.30

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