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Finding the Fourth Proportional to 13,649.28, 20,420.64 and 10,371.84

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Solution

The fourth proportional to 13,649.28, 20,420.64 and 10,371.84 is: 15,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.28 : 20,420.64 = 10,371.84 : x
  2. Step 2: Convert to fraction form
    13,649.28/20,420.64 = 10,371.84/x
  3. Step 3: Cross multiply
    13,649.28x = 20,420.64 × 10,371.84
  4. Step 4: Simplify right side
    13,649.28x = 211,799,610.78
  5. Step 5: Solve for x
    x = 211,799,610.78/13,649.28
  6. Step 6: Final answer
    x = 15,517.27

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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.