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Finding the Fourth Proportional to 13,662.08, 20,500.96 and 5,764

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Solution

The fourth proportional to 13,662.08, 20,500.96 and 5,764 is: 8,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.08 : 20,500.96 = 5,764 : x
  2. Step 2: Convert to fraction form
    13,662.08/20,500.96 = 5,764/x
  3. Step 3: Cross multiply
    13,662.08x = 20,500.96 × 5,764
  4. Step 4: Simplify right side
    13,662.08x = 118,167,533.44
  5. Step 5: Solve for x
    x = 118,167,533.44/13,662.08
  6. Step 6: Final answer
    x = 8,649.31

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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.