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Finding the Fourth Proportional to 21,192.56, 31,804.72 and 7,877.84

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Solution

The fourth proportional to 21,192.56, 31,804.72 and 7,877.84 is: 11,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.56 : 31,804.72 = 7,877.84 : x
  2. Step 2: Convert to fraction form
    21,192.56/31,804.72 = 7,877.84/x
  3. Step 3: Cross multiply
    21,192.56x = 31,804.72 × 7,877.84
  4. Step 4: Simplify right side
    21,192.56x = 250,552,495.40
  5. Step 5: Solve for x
    x = 250,552,495.40/21,192.56
  6. Step 6: Final answer
    x = 11,822.66

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