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Finding the Fourth Proportional to 18,200.27, 27,304.50 and 7,110.12

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Solution

The fourth proportional to 18,200.27, 27,304.50 and 7,110.12 is: 10,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.27 : 27,304.50 = 7,110.12 : x
  2. Step 2: Convert to fraction form
    18,200.27/27,304.50 = 7,110.12/x
  3. Step 3: Cross multiply
    18,200.27x = 27,304.50 × 7,110.12
  4. Step 4: Simplify right side
    18,200.27x = 194,138,400.59
  5. Step 5: Solve for x
    x = 194,138,400.59/18,200.27
  6. Step 6: Final answer
    x = 10,666.79

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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.