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Finding the Fourth Proportional to 18,116.88, 27,175.50 and 4,969.24

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Solution

The fourth proportional to 18,116.88, 27,175.50 and 4,969.24 is: 7,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,116.88 : 27,175.50 = 4,969.24 : x
  2. Step 2: Convert to fraction form
    18,116.88/27,175.50 = 4,969.24/x
  3. Step 3: Cross multiply
    18,116.88x = 27,175.50 × 4,969.24
  4. Step 4: Simplify right side
    18,116.88x = 135,041,581.62
  5. Step 5: Solve for x
    x = 135,041,581.62/18,116.88
  6. Step 6: Final answer
    x = 7,453.91

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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.