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Finding the Fourth Proportional to 13,713.86, 20,571.75 and 6,786.50

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Solution

The fourth proportional to 13,713.86, 20,571.75 and 6,786.50 is: 10,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.86 : 20,571.75 = 6,786.50 : x
  2. Step 2: Convert to fraction form
    13,713.86/20,571.75 = 6,786.50/x
  3. Step 3: Cross multiply
    13,713.86x = 20,571.75 × 6,786.50
  4. Step 4: Simplify right side
    13,713.86x = 139,610,181.38
  5. Step 5: Solve for x
    x = 139,610,181.38/13,713.86
  6. Step 6: Final answer
    x = 10,180.23

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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.