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Finding the Fourth Proportional to 30,964.92, 46,439.10 and 13,430.64

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Solution

The fourth proportional to 30,964.92, 46,439.10 and 13,430.64 is: 20,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.92 : 46,439.10 = 13,430.64 : x
  2. Step 2: Convert to fraction form
    30,964.92/46,439.10 = 13,430.64/x
  3. Step 3: Cross multiply
    30,964.92x = 46,439.10 × 13,430.64
  4. Step 4: Simplify right side
    30,964.92x = 623,706,834.02
  5. Step 5: Solve for x
    x = 623,706,834.02/30,964.92
  6. Step 6: Final answer
    x = 20,142.37

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