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Finding the Fourth Proportional to 30,778.56, 46,161.20 and 9,720.24

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Solution

The fourth proportional to 30,778.56, 46,161.20 and 9,720.24 is: 14,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.56 : 46,161.20 = 9,720.24 : x
  2. Step 2: Convert to fraction form
    30,778.56/46,161.20 = 9,720.24/x
  3. Step 3: Cross multiply
    30,778.56x = 46,161.20 × 9,720.24
  4. Step 4: Simplify right side
    30,778.56x = 448,697,942.69
  5. Step 5: Solve for x
    x = 448,697,942.69/30,778.56
  6. Step 6: Final answer
    x = 14,578.26

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