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Finding the Fourth Proportional to 18,196.50, 27,244.08 and 9,292.68

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Solution

The fourth proportional to 18,196.50, 27,244.08 and 9,292.68 is: 13,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196.50 : 27,244.08 = 9,292.68 : x
  2. Step 2: Convert to fraction form
    18,196.50/27,244.08 = 9,292.68/x
  3. Step 3: Cross multiply
    18,196.50x = 27,244.08 × 9,292.68
  4. Step 4: Simplify right side
    18,196.50x = 253,170,517.33
  5. Step 5: Solve for x
    x = 253,170,517.33/18,196.50
  6. Step 6: Final answer
    x = 13,913.14

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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.