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Finding the Fourth Proportional to 30,977.64, 46,465.65 and 11,256.57

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Solution

The fourth proportional to 30,977.64, 46,465.65 and 11,256.57 is: 16,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.64 : 46,465.65 = 11,256.57 : x
  2. Step 2: Convert to fraction form
    30,977.64/46,465.65 = 11,256.57/x
  3. Step 3: Cross multiply
    30,977.64x = 46,465.65 × 11,256.57
  4. Step 4: Simplify right side
    30,977.64x = 523,043,841.82
  5. Step 5: Solve for x
    x = 523,043,841.82/30,977.64
  6. Step 6: Final answer
    x = 16,884.56

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