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Finding the Fourth Proportional to 18,651.50, 27,969.03 and 9,884.36

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Solution

The fourth proportional to 18,651.50, 27,969.03 and 9,884.36 is: 14,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.50 : 27,969.03 = 9,884.36 : x
  2. Step 2: Convert to fraction form
    18,651.50/27,969.03 = 9,884.36/x
  3. Step 3: Cross multiply
    18,651.50x = 27,969.03 × 9,884.36
  4. Step 4: Simplify right side
    18,651.50x = 276,455,858.59
  5. Step 5: Solve for x
    x = 276,455,858.59/18,651.50
  6. Step 6: Final answer
    x = 14,822.18

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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.