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Finding the Fourth Proportional to 13,777.37, 20,668 and 4,415.20

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Solution

The fourth proportional to 13,777.37, 20,668 and 4,415.20 is: 6,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.37 : 20,668 = 4,415.20 : x
  2. Step 2: Convert to fraction form
    13,777.37/20,668 = 4,415.20/x
  3. Step 3: Cross multiply
    13,777.37x = 20,668 × 4,415.20
  4. Step 4: Simplify right side
    13,777.37x = 91,253,353.60
  5. Step 5: Solve for x
    x = 91,253,353.60/13,777.37
  6. Step 6: Final answer
    x = 6,623.42

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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.