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Finding the Fourth Proportional to 18,103.50, 27,157.68 and 7,717.68

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Solution

The fourth proportional to 18,103.50, 27,157.68 and 7,717.68 is: 11,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,103.50 : 27,157.68 = 7,717.68 : x
  2. Step 2: Convert to fraction form
    18,103.50/27,157.68 = 7,717.68/x
  3. Step 3: Cross multiply
    18,103.50x = 27,157.68 × 7,717.68
  4. Step 4: Simplify right side
    18,103.50x = 209,594,283.78
  5. Step 5: Solve for x
    x = 209,594,283.78/18,103.50
  6. Step 6: Final answer
    x = 11,577.56

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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.