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Finding the Fourth Proportional to 16,084.92, 24,129.78 and 5,695.86

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Solution

The fourth proportional to 16,084.92, 24,129.78 and 5,695.86 is: 8,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.92 : 24,129.78 = 5,695.86 : x
  2. Step 2: Convert to fraction form
    16,084.92/24,129.78 = 5,695.86/x
  3. Step 3: Cross multiply
    16,084.92x = 24,129.78 × 5,695.86
  4. Step 4: Simplify right side
    16,084.92x = 137,439,848.71
  5. Step 5: Solve for x
    x = 137,439,848.71/16,084.92
  6. Step 6: Final answer
    x = 8,544.64

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