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Finding the Fourth Proportional to 18,433.50, 27,631.17 and 7,335.42

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Solution

The fourth proportional to 18,433.50, 27,631.17 and 7,335.42 is: 10,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433.50 : 27,631.17 = 7,335.42 : x
  2. Step 2: Convert to fraction form
    18,433.50/27,631.17 = 7,335.42/x
  3. Step 3: Cross multiply
    18,433.50x = 27,631.17 × 7,335.42
  4. Step 4: Simplify right side
    18,433.50x = 202,686,237.04
  5. Step 5: Solve for x
    x = 202,686,237.04/18,433.50
  6. Step 6: Final answer
    x = 10,995.54

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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.