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Finding the Fourth Proportional to 23,662.21, 35,485.64 and 7,863.00

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Solution

The fourth proportional to 23,662.21, 35,485.64 and 7,863.00 is: 11,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.21 : 35,485.64 = 7,863.00 : x
  2. Step 2: Convert to fraction form
    23,662.21/35,485.64 = 7,863.00/x
  3. Step 3: Cross multiply
    23,662.21x = 35,485.64 × 7,863.00
  4. Step 4: Simplify right side
    23,662.21x = 279,023,588.45
  5. Step 5: Solve for x
    x = 279,023,588.45/23,662.21
  6. Step 6: Final answer
    x = 11,791.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.