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Finding the Fourth Proportional to 13,923.67, 20,883.57 and 4,562.57

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Solution

The fourth proportional to 13,923.67, 20,883.57 and 4,562.57 is: 6,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.67 : 20,883.57 = 4,562.57 : x
  2. Step 2: Convert to fraction form
    13,923.67/20,883.57 = 4,562.57/x
  3. Step 3: Cross multiply
    13,923.67x = 20,883.57 × 4,562.57
  4. Step 4: Simplify right side
    13,923.67x = 95,282,796.05
  5. Step 5: Solve for x
    x = 95,282,796.05/13,923.67
  6. Step 6: Final answer
    x = 6,843.22

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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.