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Finding the Fourth Proportional to 18,036.60, 27,057.06 and 7,647

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Solution

The fourth proportional to 18,036.60, 27,057.06 and 7,647 is: 11,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,036.60 : 27,057.06 = 7,647 : x
  2. Step 2: Convert to fraction form
    18,036.60/27,057.06 = 7,647/x
  3. Step 3: Cross multiply
    18,036.60x = 27,057.06 × 7,647
  4. Step 4: Simplify right side
    18,036.60x = 206,905,337.82
  5. Step 5: Solve for x
    x = 206,905,337.82/18,036.60
  6. Step 6: Final answer
    x = 11,471.42

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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.