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Finding the Fourth Proportional to 18,216.18, 27,318.87 and 7,825.50

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Solution

The fourth proportional to 18,216.18, 27,318.87 and 7,825.50 is: 11,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,216.18 : 27,318.87 = 7,825.50 : x
  2. Step 2: Convert to fraction form
    18,216.18/27,318.87 = 7,825.50/x
  3. Step 3: Cross multiply
    18,216.18x = 27,318.87 × 7,825.50
  4. Step 4: Simplify right side
    18,216.18x = 213,783,817.19
  5. Step 5: Solve for x
    x = 213,783,817.19/18,216.18
  6. Step 6: Final answer
    x = 11,735.93

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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.