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Finding the Fourth Proportional to 13,624.78, 20,426.82 and 7,046.78

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Solution

The fourth proportional to 13,624.78, 20,426.82 and 7,046.78 is: 10,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.78 : 20,426.82 = 7,046.78 : x
  2. Step 2: Convert to fraction form
    13,624.78/20,426.82 = 7,046.78/x
  3. Step 3: Cross multiply
    13,624.78x = 20,426.82 × 7,046.78
  4. Step 4: Simplify right side
    13,624.78x = 143,943,306.64
  5. Step 5: Solve for x
    x = 143,943,306.64/13,624.78
  6. Step 6: Final answer
    x = 10,564.82

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