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Finding the Fourth Proportional to 13,709.70, 20,556.77 and 5,385.17

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Solution

The fourth proportional to 13,709.70, 20,556.77 and 5,385.17 is: 8,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.70 : 20,556.77 = 5,385.17 : x
  2. Step 2: Convert to fraction form
    13,709.70/20,556.77 = 5,385.17/x
  3. Step 3: Cross multiply
    13,709.70x = 20,556.77 × 5,385.17
  4. Step 4: Simplify right side
    13,709.70x = 110,701,571.39
  5. Step 5: Solve for x
    x = 110,701,571.39/13,709.70
  6. Step 6: Final answer
    x = 8,074.69

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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.