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Finding the Fourth Proportional to 13,760.88, 20,649.48 and 4,996.44

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Solution

The fourth proportional to 13,760.88, 20,649.48 and 4,996.44 is: 7,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.88 : 20,649.48 = 4,996.44 : x
  2. Step 2: Convert to fraction form
    13,760.88/20,649.48 = 4,996.44/x
  3. Step 3: Cross multiply
    13,760.88x = 20,649.48 × 4,996.44
  4. Step 4: Simplify right side
    13,760.88x = 103,173,887.85
  5. Step 5: Solve for x
    x = 103,173,887.85/13,760.88
  6. Step 6: Final answer
    x = 7,497.62

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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.