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Finding the Fourth Proportional to 13,814.88, 20,730.89 and 5,050.54

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Solution

The fourth proportional to 13,814.88, 20,730.89 and 5,050.54 is: 7,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.88 : 20,730.89 = 5,050.54 : x
  2. Step 2: Convert to fraction form
    13,814.88/20,730.89 = 5,050.54/x
  3. Step 3: Cross multiply
    13,814.88x = 20,730.89 × 5,050.54
  4. Step 4: Simplify right side
    13,814.88x = 104,702,163.93
  5. Step 5: Solve for x
    x = 104,702,163.93/13,814.88
  6. Step 6: Final answer
    x = 7,578.94

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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.