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Finding the Fourth Proportional to 13,720.86, 20,571.30 and 4,357.80

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Solution

The fourth proportional to 13,720.86, 20,571.30 and 4,357.80 is: 6,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.86 : 20,571.30 = 4,357.80 : x
  2. Step 2: Convert to fraction form
    13,720.86/20,571.30 = 4,357.80/x
  3. Step 3: Cross multiply
    13,720.86x = 20,571.30 × 4,357.80
  4. Step 4: Simplify right side
    13,720.86x = 89,645,611.14
  5. Step 5: Solve for x
    x = 89,645,611.14/13,720.86
  6. Step 6: Final answer
    x = 6,533.53

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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.