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Finding the Fourth Proportional to 18,197.50, 27,245.58 and 9,293.68

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Solution

The fourth proportional to 18,197.50, 27,245.58 and 9,293.68 is: 13,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,197.50 : 27,245.58 = 9,293.68 : x
  2. Step 2: Convert to fraction form
    18,197.50/27,245.58 = 9,293.68/x
  3. Step 3: Cross multiply
    18,197.50x = 27,245.58 × 9,293.68
  4. Step 4: Simplify right side
    18,197.50x = 253,211,701.93
  5. Step 5: Solve for x
    x = 253,211,701.93/18,197.50
  6. Step 6: Final answer
    x = 13,914.64

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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.