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Finding the Fourth Proportional to 18,274.42, 27,414.49 and 7,744.46

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Solution

The fourth proportional to 18,274.42, 27,414.49 and 7,744.46 is: 11,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.42 : 27,414.49 = 7,744.46 : x
  2. Step 2: Convert to fraction form
    18,274.42/27,414.49 = 7,744.46/x
  3. Step 3: Cross multiply
    18,274.42x = 27,414.49 × 7,744.46
  4. Step 4: Simplify right side
    18,274.42x = 212,310,421.23
  5. Step 5: Solve for x
    x = 212,310,421.23/18,274.42
  6. Step 6: Final answer
    x = 11,617.90

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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.