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Finding the Fourth Proportional to 18,527.70, 27,791.55 and 10,233.30

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Solution

The fourth proportional to 18,527.70, 27,791.55 and 10,233.30 is: 15,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.70 : 27,791.55 = 10,233.30 : x
  2. Step 2: Convert to fraction form
    18,527.70/27,791.55 = 10,233.30/x
  3. Step 3: Cross multiply
    18,527.70x = 27,791.55 × 10,233.30
  4. Step 4: Simplify right side
    18,527.70x = 284,399,268.62
  5. Step 5: Solve for x
    x = 284,399,268.62/18,527.70
  6. Step 6: Final answer
    x = 15,349.95

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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.