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Finding the Fourth Proportional to 13,978.16, 20,969.40 and 4,742

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Solution

The fourth proportional to 13,978.16, 20,969.40 and 4,742 is: 7,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.16 : 20,969.40 = 4,742 : x
  2. Step 2: Convert to fraction form
    13,978.16/20,969.40 = 4,742/x
  3. Step 3: Cross multiply
    13,978.16x = 20,969.40 × 4,742
  4. Step 4: Simplify right side
    13,978.16x = 99,436,894.80
  5. Step 5: Solve for x
    x = 99,436,894.80/13,978.16
  6. Step 6: Final answer
    x = 7,113.73

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