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Finding the Fourth Proportional to 30,778.83, 46,165.98 and 9,719.64

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Solution

The fourth proportional to 30,778.83, 46,165.98 and 9,719.64 is: 14,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.83 : 46,165.98 = 9,719.64 : x
  2. Step 2: Convert to fraction form
    30,778.83/46,165.98 = 9,719.64/x
  3. Step 3: Cross multiply
    30,778.83x = 46,165.98 × 9,719.64
  4. Step 4: Simplify right side
    30,778.83x = 448,716,705.85
  5. Step 5: Solve for x
    x = 448,716,705.85/30,778.83
  6. Step 6: Final answer
    x = 14,578.74

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