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Finding the Fourth Proportional to 13,688.31, 20,538.65 and 7,844.93

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Solution

The fourth proportional to 13,688.31, 20,538.65 and 7,844.93 is: 11,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.31 : 20,538.65 = 7,844.93 : x
  2. Step 2: Convert to fraction form
    13,688.31/20,538.65 = 7,844.93/x
  3. Step 3: Cross multiply
    13,688.31x = 20,538.65 × 7,844.93
  4. Step 4: Simplify right side
    13,688.31x = 161,124,271.54
  5. Step 5: Solve for x
    x = 161,124,271.54/13,688.31
  6. Step 6: Final answer
    x = 11,770.94

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