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Finding the Fourth Proportional to 18,105.34, 27,157.82 and 4,957.70

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Solution

The fourth proportional to 18,105.34, 27,157.82 and 4,957.70 is: 7,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.34 : 27,157.82 = 4,957.70 : x
  2. Step 2: Convert to fraction form
    18,105.34/27,157.82 = 4,957.70/x
  3. Step 3: Cross multiply
    18,105.34x = 27,157.82 × 4,957.70
  4. Step 4: Simplify right side
    18,105.34x = 134,640,324.21
  5. Step 5: Solve for x
    x = 134,640,324.21/18,105.34
  6. Step 6: Final answer
    x = 7,436.50

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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.