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Finding the Fourth Proportional to 13,730.34, 18,947.70 and 7,442.68

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Solution

The fourth proportional to 13,730.34, 18,947.70 and 7,442.68 is: 10,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.34 : 18,947.70 = 7,442.68 : x
  2. Step 2: Convert to fraction form
    13,730.34/18,947.70 = 7,442.68/x
  3. Step 3: Cross multiply
    13,730.34x = 18,947.70 × 7,442.68
  4. Step 4: Simplify right side
    13,730.34x = 141,021,667.84
  5. Step 5: Solve for x
    x = 141,021,667.84/13,730.34
  6. Step 6: Final answer
    x = 10,270.81

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