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Finding the Fourth Proportional to 30,577.84, 42,197.50 and 17,839.78

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Solution

The fourth proportional to 30,577.84, 42,197.50 and 17,839.78 is: 24,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.84 : 42,197.50 = 17,839.78 : x
  2. Step 2: Convert to fraction form
    30,577.84/42,197.50 = 17,839.78/x
  3. Step 3: Cross multiply
    30,577.84x = 42,197.50 × 17,839.78
  4. Step 4: Simplify right side
    30,577.84x = 752,794,116.55
  5. Step 5: Solve for x
    x = 752,794,116.55/30,577.84
  6. Step 6: Final answer
    x = 24,618.94

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