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Finding the Fourth Proportional to 25,883.64, 38,826.10 and 7,415.80

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Solution

The fourth proportional to 25,883.64, 38,826.10 and 7,415.80 is: 11,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.64 : 38,826.10 = 7,415.80 : x
  2. Step 2: Convert to fraction form
    25,883.64/38,826.10 = 7,415.80/x
  3. Step 3: Cross multiply
    25,883.64x = 38,826.10 × 7,415.80
  4. Step 4: Simplify right side
    25,883.64x = 287,926,592.38
  5. Step 5: Solve for x
    x = 287,926,592.38/25,883.64
  6. Step 6: Final answer
    x = 11,123.88

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