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Finding the Fourth Proportional to 18,835.64, 28,262.64 and 7,745.66

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Solution

The fourth proportional to 18,835.64, 28,262.64 and 7,745.66 is: 11,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,835.64 : 28,262.64 = 7,745.66 : x
  2. Step 2: Convert to fraction form
    18,835.64/28,262.64 = 7,745.66/x
  3. Step 3: Cross multiply
    18,835.64x = 28,262.64 × 7,745.66
  4. Step 4: Simplify right side
    18,835.64x = 218,912,800.14
  5. Step 5: Solve for x
    x = 218,912,800.14/18,835.64
  6. Step 6: Final answer
    x = 11,622.27

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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.