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Finding the Fourth Proportional to 24,826.32, 37,185.84 and 11,658.96

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Solution

The fourth proportional to 24,826.32, 37,185.84 and 11,658.96 is: 17,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826.32 : 37,185.84 = 11,658.96 : x
  2. Step 2: Convert to fraction form
    24,826.32/37,185.84 = 11,658.96/x
  3. Step 3: Cross multiply
    24,826.32x = 37,185.84 × 11,658.96
  4. Step 4: Simplify right side
    24,826.32x = 433,548,221.13
  5. Step 5: Solve for x
    x = 433,548,221.13/24,826.32
  6. Step 6: Final answer
    x = 17,463.25

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