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Finding the Fourth Proportional to 18,642.15, 27,944.46 and 9,267.75

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Solution

The fourth proportional to 18,642.15, 27,944.46 and 9,267.75 is: 13,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.15 : 27,944.46 = 9,267.75 : x
  2. Step 2: Convert to fraction form
    18,642.15/27,944.46 = 9,267.75/x
  3. Step 3: Cross multiply
    18,642.15x = 27,944.46 × 9,267.75
  4. Step 4: Simplify right side
    18,642.15x = 258,982,269.17
  5. Step 5: Solve for x
    x = 258,982,269.17/18,642.15
  6. Step 6: Final answer
    x = 13,892.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.