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Finding the Fourth Proportional to 15,718.92, 23,578.64 and 12,584.40

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Solution

The fourth proportional to 15,718.92, 23,578.64 and 12,584.40 is: 18,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.92 : 23,578.64 = 12,584.40 : x
  2. Step 2: Convert to fraction form
    15,718.92/23,578.64 = 12,584.40/x
  3. Step 3: Cross multiply
    15,718.92x = 23,578.64 × 12,584.40
  4. Step 4: Simplify right side
    15,718.92x = 296,723,037.22
  5. Step 5: Solve for x
    x = 296,723,037.22/15,718.92
  6. Step 6: Final answer
    x = 18,876.81

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