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Finding the Fourth Proportional to 30,781.68, 46,178.76 and 9,724.98

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Solution

The fourth proportional to 30,781.68, 46,178.76 and 9,724.98 is: 14,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.68 : 46,178.76 = 9,724.98 : x
  2. Step 2: Convert to fraction form
    30,781.68/46,178.76 = 9,724.98/x
  3. Step 3: Cross multiply
    30,781.68x = 46,178.76 × 9,724.98
  4. Step 4: Simplify right side
    30,781.68x = 449,087,517.42
  5. Step 5: Solve for x
    x = 449,087,517.42/30,781.68
  6. Step 6: Final answer
    x = 14,589.44

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