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Finding the Fourth Proportional to 18,220.81, 27,338.10 and 7,135.42

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Solution

The fourth proportional to 18,220.81, 27,338.10 and 7,135.42 is: 10,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,220.81 : 27,338.10 = 7,135.42 : x
  2. Step 2: Convert to fraction form
    18,220.81/27,338.10 = 7,135.42/x
  3. Step 3: Cross multiply
    18,220.81x = 27,338.10 × 7,135.42
  4. Step 4: Simplify right side
    18,220.81x = 195,068,825.50
  5. Step 5: Solve for x
    x = 195,068,825.50/18,220.81
  6. Step 6: Final answer
    x = 10,705.83

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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.