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Finding the Fourth Proportional to 16,209.76, 24,314.64 and 3,897.76

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Solution

The fourth proportional to 16,209.76, 24,314.64 and 3,897.76 is: 5,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.76 : 24,314.64 = 3,897.76 : x
  2. Step 2: Convert to fraction form
    16,209.76/24,314.64 = 3,897.76/x
  3. Step 3: Cross multiply
    16,209.76x = 24,314.64 × 3,897.76
  4. Step 4: Simplify right side
    16,209.76x = 94,772,631.21
  5. Step 5: Solve for x
    x = 94,772,631.21/16,209.76
  6. Step 6: Final answer
    x = 5,846.64

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