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Finding the Fourth Proportional to 30,468.80, 45,697.59 and 13,824.83

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Solution

The fourth proportional to 30,468.80, 45,697.59 and 13,824.83 is: 20,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.80 : 45,697.59 = 13,824.83 : x
  2. Step 2: Convert to fraction form
    30,468.80/45,697.59 = 13,824.83/x
  3. Step 3: Cross multiply
    30,468.80x = 45,697.59 × 13,824.83
  4. Step 4: Simplify right side
    30,468.80x = 631,761,184.67
  5. Step 5: Solve for x
    x = 631,761,184.67/30,468.80
  6. Step 6: Final answer
    x = 20,734.70

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