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Finding the Fourth Proportional to 18,833.25, 28,251.81 and 4,982.25

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Solution

The fourth proportional to 18,833.25, 28,251.81 and 4,982.25 is: 7,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833.25 : 28,251.81 = 4,982.25 : x
  2. Step 2: Convert to fraction form
    18,833.25/28,251.81 = 4,982.25/x
  3. Step 3: Cross multiply
    18,833.25x = 28,251.81 × 4,982.25
  4. Step 4: Simplify right side
    18,833.25x = 140,757,580.37
  5. Step 5: Solve for x
    x = 140,757,580.37/18,833.25
  6. Step 6: Final answer
    x = 7,473.89

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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.