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Finding the Fourth Proportional to 12,814.78, 17,684.40 and 7,225.78

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Solution

The fourth proportional to 12,814.78, 17,684.40 and 7,225.78 is: 9,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.78 : 17,684.40 = 7,225.78 : x
  2. Step 2: Convert to fraction form
    12,814.78/17,684.40 = 7,225.78/x
  3. Step 3: Cross multiply
    12,814.78x = 17,684.40 × 7,225.78
  4. Step 4: Simplify right side
    12,814.78x = 127,783,583.83
  5. Step 5: Solve for x
    x = 127,783,583.83/12,814.78
  6. Step 6: Final answer
    x = 9,971.58

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