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Finding the Fourth Proportional to 16,540.32, 24,806.40 and 9,878.64

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Solution

The fourth proportional to 16,540.32, 24,806.40 and 9,878.64 is: 14,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.32 : 24,806.40 = 9,878.64 : x
  2. Step 2: Convert to fraction form
    16,540.32/24,806.40 = 9,878.64/x
  3. Step 3: Cross multiply
    16,540.32x = 24,806.40 × 9,878.64
  4. Step 4: Simplify right side
    16,540.32x = 245,053,495.30
  5. Step 5: Solve for x
    x = 245,053,495.30/16,540.32
  6. Step 6: Final answer
    x = 14,815.52

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